Time and Distance Questions

Posted by admin at June 22, 2019

Compare the rates of two trains, one travelling at 45 km an hour and the other at 45 km an hour and the other at 10 m a second.

(a) 4 : 5

(b) 3 : 5

(c) 5 : 4

(d) 5 : 4

(e) None of these

A train covers a distance in 50 minutes if it runs at a speed of 48 km per hour on an average. The speed at which the train must run to reduce the time of journey to 40 minutes, will be

(a) 50 km/hr

(b) 55 km/hr

(c) 60 km/hr

(d) 70 km/hr

(e) None of these

A train goes from a station A to another station B at a speed of 64 km/hr but returns to A at a slower speed. If its average speed for the trip is 56 km/hr, the return speed of the train is nearly.

(a) 48 km/hr

(b) 50 km/hr

(c) 52 km/hr

(d) 47.4 km/hr

(e) None of these

On a tour a man travels at the rate of 64 km an hour for the first 160 km, then travels the next 160 km at the rate of 80 km an hour. The average speed in km per hour for the first 320 km of the tour, is

(a) 35.55

(b) 71.11

(c) 36

(d) 72

(e) None of these

A man is walking at a speed of 6 km per hour After every km he takes rest for 6 minutes. How much time will be take to cover a distance of 18 km.

(a) 5 hrs

(b) 5 hrs 42 min

(c) 4 hrs 42 min

(d) 3 hrs 45 min

(e) None of these

A man covers a certain distance between his house and office on scooter Having an average speed of 60 km/hr he is late by 20 min. However, with a speed of 80 km/hr he reaches his office 10 min earlier Find the distance between his house and office.

(a) 120 km

(b) 90 km

(c) 80 km

(d) 60 km
(e) None of these

A boy walking at a speed of 45 km/hr reaches his school 10 minutes late. Next time he increases his speed 15 km/hr, but still he is late by 5 minutes Find the distence of his school from his house

(a) 10 km

(b) 12 km

(c) 25 km

(d) 15 km

(e) None of these

A man walks to a town at the rate of 4 kilometres an hour and rides bank at the rate of 5 kilometees an hour, how far has he walked, the whole time occupied having been 9 hours.

(a) 20 km

(b) 25 km

(c) 18 km

(d) 15 km

(e) None of these


A motor car does a journey in 27 hrs the first half at 14 km/hr and the second half at 13 km/hr Find the distance.

(a) 264 km

(b) 351 km

(c) 251 km

(d) 364 km

(e) None of these

The distance between two station A and B is 900 km A train starts formA and B moves towards B at an average speed of 30 km/hr. Another train starts from B,20 minutes earlier than the train at A, and moves towards A at an average speed 40 km/hr. How far from A will the two trains meet?

(a) 380 km

(b) 320 km

(c) 240 km

(d) 250 km

(e) None of these

A starts from allahabad to kanpur and walks at the rate of 12 km an hour B starts from kanpur 2 hours later and walks towards all ahabad at the rate of 8 kilometres an hour, if they meet in 9 hours after B started, find the distance from Allahabad to Kanpur.

(a) 204 km

(b) 104 km

(c) 140 km

(d) 240 km

(e) None of these

Walking 3 2 of his usual speed, a person is 15 min late to his office find his usual time to cover the distance. 14. TIME & DISTANCE
(a) 30 minutes

(b) 25 minutes

(c) 15 minutes

(d) 25 minutes

(e) None of these

Walking 5 4 of his usual speed, a person is 6 min late to his office. Find his usual time to cover the distance.

(a) 12 minutes

(b) 18 minutes

(c) 24 minutes

(d) Data inadequate

(e) None of these

A train leaves Calcutta at 7.30 am and travels 40 km an hour, another train leaves Calcutta at noon and travels 64 km an hour, when and where will the second train overtake the first?

(a) 480 km, 7.30 pm

(b) 480 km, 2.30 pm

(c) 840 km, 7.30 pm

(d) 480 km, 6.30 pm

(e) None of these

Two men A and B start from a place P walking at 4 km and 5 km an hour respectively. How many km will they the apart at the end of 4 hours, if they walk in same direction?

(a) 3 km

(b) 4 km

(c) 2 km

(d) 4.5 km

(e) None of these

Two men A and B start from a place P walking at 2 km and 5 km an hour respectively. How many km will they part at the end of 2 hrs, if they walk in the opposite directions?

(a) 7 km

(b) 8 km

(c) 12 km

(d) 14 km

(e) None of these

Two men A and B walk from P to Q, a distance of 22 km, at 5 and 6 km an hour respectively. B reaches Q, returns immediely and meets A at R. Find the distance from P to R.

(a) 16 km

(b) 18 km

(c) 20 km

(d) 15 km

(e) None of these

A man sets out to cycle from Delhi to Rhohtak, and at the same time another man starts from Rohtak to cycle to Delhi. After passing each other they complete their journeys in 9 and 16 hours respectively. At what rate does the second man cycle
if the first cycle at 16 km per hour?

(a) 12 km

(b) 15 km

(c) 8 km

(d) 6 km

(e) None of these

Two bullets were fired at a place at an interval of 28 minutes 30 seconds, A person approaching the firing point in his car hears the two sounds at an interval of 27 minutes. The speed of sound is 330 m/sec. What is the speed of the car?

(a) 44 km/hr

(b) 66 km/hr

(c) 64 km/hr

(d) 54 km/hr

(e) None of these

A trian walks from A to B and back in a certain time at the rate of 2 13 km per hour. But if the had walked from A to B at the rate of 3 km an hour and back from B to A at the rate of 4 km an hour, he would have taken 5 minutes longer Find the distance between A and B.

(a) 14 km

(b) 12 km

(c) 6 km

(d) 7 km

(e) None of these

A carriage driving in a fog passed a man who was walking at the rate of 6 km an hour in the same direction. He could see the carrinage for 8 minutes and it was visible to him upto a distance of 200 m What was the speed of the carriage?

(a) 9 km/hr

(b) 7.5 km/hr

(c) 7 km/hr

(d) 8.5 km/hr

(e) None of these

A man takes 8 hrs 32 min in walking to a certain place and riding back He would have gained 2 hrs 14 min by riding hoth ways, How long would he take to walk both ways? (a) 10 hrs (b) 10 hrs 36 min (c) 10 hrs 46 min (d) 10 hrs 40 min (e) None of these 23. A man takes 8 hours to walk, to a certain place and ride back. However if he walks both ways he needs 1 hour more . How long would he have taken to ride both ways?

(a) 9 hrs

(b) 7 hrs

(c) 6 hrs

(d) 5 hrs

(e) None of these

480 km, 6.30 pm

(e) None of these

Two men A and B start from a place P walking at 4 km and 5 km an hour respectively. How many km will they the apart at the end of 4 hours, if they walk in same direction?

(a) 3 km

(b) 4 km

(c) 2 km

(d) 4.5 km

(e) None of these

Two men A and B start from a place P walking at 2 km and 5 km an hour respectively. How many km will they part at the end of 2 hrs, if they walk in the opposite directions?

(a) 7 km

(b) 8 km

(c) 12 km

(d) 14 km

(e) None of these

Two men A and B walk from P to Q, a distance of 22 km, at 5 and 6 km an hour respectively. B reaches Q, returns immediely and meets A at R. Find the distance from P to R.

(a) 16 km

(b) 18 km

(c) 20 km

(d) 15 km

(e) None of these

A man sets out to cycle from Delhi to Rohtak, and at the same time another man starts from Rohtak to cycle to Delhi. After passing each other they complete their journeys in 9 and 16 hours respectively. At what rate does the second man cycle
if the first cycle at 16 km per hour?

(a) 12 km

(b) 15 km

(c) 8 km

(d) 6 km

(e) None of these

Two bullets were fired at a place at an interval of 28 minutes 30 seconds, A person approaching the firing point in his car hears the two sounds at an interval of 27 minutes. The speed of sound is 330 m/sec. What is the speed of the car?

(a) 44 km/hr

(b) 66 km/hr

(c) 64 km/hr

(d) 54 km/hr

(e) None of these

A trian walks from A to B and back in a certain time at the rate of 2 13 km per hour. But if the had walked from A to B at the rate of 3 km an hour and back from B to A at the rate of 4 km an hour, he would have taken 5 minutes longer Find the distance between A and B.

(a) 14 km

(b) 12 km

(c) 6 km

(d) 7 km

(e) None of these

A carriage driving in a fog passed a man who was walking at the rate of 6 km an hour in the same direction. He could see the carrinage for 8 minutes and it was visible to him upto a distance of 200 m What was the speed of the carriage?

(a) 9 km/hr

(b) 7.5 km/hr

(c) 7 km/hr

(d) 8.5 km/hr

(e) None of these

A man takes 8 hrs 32 min in walking to a certain place and riding back He would have gained 2 hrs 14 min by riding hoth ways, How long would he take to walk both ways?

(a) 10 hrs

(b) 10 hrs 36 min

(c) 10 hrs 46 min

(d) 10 hrs 40 min

(e) None of these

A man takes 8 hours to walk, to a certain place and ride back. However if he walks both ways he needs 1 hour more . How long would he have taken to ride both ways?

(a) 9 hrs

(b) 7 hrs

(c) 6 hrs

(d) 5 hrs

(e) None of these

A man leaves a point P and reaches the point Q in 6 hours. Another man leaves the point Q 4 hours later and reaches the point P in 6 hours. Find the time in which first man meets to trhe second man.

(a) 6 hrs

(b) 5 hrs

(c) 4 hrs

(d) 3 hrs

(e) None of these

A man leaves a point P and reaches the point Q in 3 hours. Another man leaves the point 10 hour earlier and reaches the point P in 3 hours. Find the time in which the first man meets to the second

(a) 1 hrs

(b) 2 hrs

(c) 30 min

(d) 90 min

(e) None of these

A person covers a distance in 24 minutes if the runs at a speed of 27 km per hour on an average. Find the speed at which he must run to reduce the time of journey to 18 minutes.

(a) 27 km/hr

(b) 36 km/hr

(c) 45 km/hr

(d) 48 km/hr

(e) None of these

Without any stoppage a person travels a certain distance at an average speed of 15 km/hr, and with stoppages he covers the same distance at an average speed of 12 km/hr. How many minutes per hour does he stop?

(a) 15 min

(b) 12 min

(c) 16 min

(d) 18 min

(e) None of these

Laxman has to cover a distance of 6 km in 45 min. If the covers on half of the distance in 3 2rd time, what should be his speed in km/hr to cover the remaning distance in the remaining time?

(a) 12

(b) 16

(c) 3

(d) 8

(e) None of these

A man rode out a certain distance by train at the rate of 13 km an hour and walked back at the rate of 12 km per hour. The whole journey took 5 hours. What distance did he ride?

(a) 32 km

(b) 26 km

(c) 31.2 km

(d) 26.5 km

(e) None of these

A man travels 120 km in 5 hrs partly by air and partly by train If he had travelled all the way by air he would have saved3 2of the time he was in train and would have arrived at his destination 2 hours early Find the distance he travelled by air.

(a) 80 km

(b) 40 km

(c) 85 km

(d) 90 km

(e) None of these

One aeroplane strated 30 minutes later than the scheduled time from a place 1800 km away from its destination. To reach the destination at the scheduled time the Pilot made to increase the speed by 300 km/hr. What was the speed of the aeroplane per hour during the journey?

(a) 600 km/hr

(b) 800 km/hr

(c) 1200 km/hr

(d) 900 km/hr

(e) None of these

A train leaves the sation 30 minutes before the scheduled time. The driver decreases its speed by 30 km/hr At the next station 180 km away, the train reached on time Find the original speed of the train.

(a) 140 km/hr

(b) 125 km/hr

(c) 120 km/hr

(d) 100 km/hr

(e) None of these

When a man travels equal distance at speeds V1 and V2 km/hr his average speed is 5 km/hr. But when he travels these speed is 9 km/hr Find the difference of the two speeds.

(a) 10 km/hr

(b) 12 km/hr

(c) 14 km/hr

(d) 8 km/hr

(e) None of these

A person travels for 4 hrs at the speed of 30 km/hr and for 6 hrs at the speed of 40 km/hr At the end of it he finds that he has covered 75% of the total distance. At what average speed should he travel to cover the remaining distance in 3 hrs?

(a) 40 km/hr

(b) 35 km/hr

(c) 45 km/hr

(d) 60 km/hr

(e) None of these

If A takes 3 hours to cover a disfance and he is 3 times faster than B then what time will B take to cover the same distance?

(a) 9 hrs

(b) 6 hrs
(c) 8 hrs

(d) 7 hrs

(e) None of these

A person travelled 50 km by steamer, 60 km by train and 60 km by horse. if the rate of the train is 4 times that of the horse and 3 times that of the steamer. Find the rate of the steamer.

(a) 10 km/hr

(b) 30 km/hr

(c) 15 km/hr

(d) 18 km/hr

(e) None of these

A man covers a certain distance on scooter. Had he moved 8 km/hr faster, he would have taken 30 minutes less. It the had moved 6 km/hr slower, he would have taken 15 minutes more Find the disance (in km) and original speed.

(a) 36 km/hr

(b) 24 km/hr

(c) 18 km/hr

(d) 30 km/hr

(e) None of these

A policeman goes after a thief who has 100 metres’ start. If the policeman runs a kilmetre in 8 minutes, and the thief a kilometer in 10 minutes, how far will the thief have gone before he is overtaken?

(a) 350 metres

(b) 400 metres

(c) 450 metres

(d) 460 metres

(e) None of these

A train travels 150 km in 5 hours 250 km in 3 hours. Find the average speed of train.

(a) 50 km/hr

(b) 60 km/hr

(c) 100 km/hr

(d) 80 km/hr

(e) None of these

A car finishes a journey in 10 hours at the speed of 80 km/hr. If the same distance is to be covered in eight hours how much more speed does the car have to gain?

(a) 8 km/hr

(b) 10 km/hr

(c) 20 km/hr

(d) 16 km/hr

(e) None f these

A car travels a distance of 350 km at uniform speed. If the speed of the car is 20 km/hr more, it takes 2 hours less to cover the same distance. Find the original speed of the car.

(a) 25 km/hr

(b) 50 km/hr

(c) 75 km/hr

(d) 35 km/hr

(e) None of these

A car travels a distance of 35 km at uniform speed. If the speed of the car is 2 km/hr less, it takes 2
hours more to cover the same distance. Find the original speed of the car. (a) 5 km/hr

(b) 7 km/hr

(c) 8 km/hr

(d) 6 km/hr

(e) None of these

The ratio between the speeds of Sudhesh and Vivek is 2 : 5 If Sudhesh takes 3 hrs more than Vivek to cover a distance, then find the actual time taken by Sudhesh and Vivek.

(a) 5 hrs, 3 hrs

(b) 5 hrs, 2 hrs

(c) 4 hrs, 3 hrs

(d) 4 hrs, 2 hrs

(e) None of these

A man covers 5 2 th of his journey at 25 km/hr and the remaining journey at 15 km/hr. If the total journey is of 50 km, what is his average speed for the whole journey?

(a) 18 km/hr

(b) 20 km/hr

(c) 7 617 km/hr

(d) 7 616 km/hr

(e) None of these

A railway passenger counts the telegraph posts on the line as he passes them. If they are 50 metres apart and the train is going at the speed of 48 km per hour, how many will he pass per minute?

(a) 15

(b) 18

(c) 16

(d) 20′

(e) None of these

A hare sees a dog 200 metres away from her and scuds off in the opposite direction at a speed of 24 km/hr. Two minutes later the dog perceives her and gives chase at a speed of 32 km per hour. How soon will the dog overtake the hare, and at what distance from the spot whence the hare took flight?

(a) 8 min, 2 km

(b) 2 17 min, 2 km

(c) 2 17 min, 3 km

(d) min, 1 km

(e) None of these

A hare, pursued by a grey-hound, is 60 of her own leaps ahead of him. While the hare takes 6 leasps the grey hound takes 3 leasps. In one leap the hare goes 4 metres and the grey-hound 12 metres. In
how man leaps will the grey hound overtake the hare?

(a) 30

(b) 60

(c) 40

(d) 45

A hare, pursued by a grey-hound is 22 of her own leaps ahead of him. While the hare takes 9 leaps, the grey-hound takes 4 leaps. 2 leaps of grey-hound is equal to 5 leaps of hare. In how many leaps will the grey-hound overtake the hare?

(a) 200 leaps

(b) 110 leaps

(c) 88 leaps

(d) 210 leaps.

(e) None of these

A monkey tries to ascend a greased pole 58 metres high. He ascends 12 metres in first minute and slips down 4 metres in the alternate minute. If he continues to ascend in this fashion, how long does he take to reach the top? (a) 13 min 30 sec

(b) 12 min 50 sec

(c) 12 min 40 sec

(d) 12 min 5 sec

(e) None of these

Suresh travelled 1200 km by ar which formed (2/ 5) of his trip. The part of his trip which was one third of the whole trip, he travelled by car. The rest of the journey was performed by train. The distance travelled by train was (a) 1600 km

(b) 800 km

(c) 480 km

(d) 1800 km

(e) None of these


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