1EasyMCQ
Sambhu beats Kalu by 30 metres or 10 seconds. How much time was taken by Sambhu to complete a race 1200 meters.
- A
6 min 30 s
- B
3 min 15 s
- C
12 min 10 s
- D
5 min 2 s
Time, Speed and Distance Questions for CAT
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195 easy295 medium318 hard
Time, Speed and Distance is the widest topic in CAT arithmetic, relative speed, trains, boats and streams, circular tracks, races, and the escalator and clock variants all sit under it, and each has its own way of going wrong. It is also the topic where drawing the situation before writing an equation makes the largest difference. A large bank matters here because the variants are genuinely distinct: being fluent in relative speed does not make you fluent in circular tracks.
20 free Time, Speed and Distance questions
2EasyMCQ
A cow takes 5 leaps for every 4 leaps of a goat, but 3 leaps of the goat are equal to 4 leaps of the cow. What is the ratio of the speed of the cow to that of the goat?
- A
- B
- C
- D
3EasyMCQ
A train travelling at 36 km/h crosses a platform in 20 seconds and a man in 10 seconds. What is the length of the platform?
- A
240 meters
- B
100 meters
- C
200 meters
- D
300 meters
4EasyMCQ
A caravan 120 m long runs at 10 m/s. How many seconds to pass a standing boy?
- A
10 s
- B
12 s
- C
11 s
- D
14 s
5EasyMCQ
If Ram goes from A to B at 120 km/hr and returns from B to A at 60 km/hr, what is his average speed in the round trip?
- A
80 km/hr
- B
90 km/hr
- C
100 km/hr
- D
None of these
6EasyMCQ
Hari runs at 20n + 150 m/s, Rahul at 30n + 50 m/s, where n = seconds from start. After how many seconds will Rahul run faster than Hari?
- A
10 seconds
- B
20 seconds
- C
30 seconds
- D
1 minute
7MediumMCQ
In a factory, the total output increased by 30% while the output per worker increased by 15% over the same period. The percentage by which the number of workers increased is nearest to
- A
11
- B
13
- C
15
- D
17
8MediumTITA
A man wants to reach the first floor. On an upward escalator, he takes 40 steps; on a downward escalator, he takes 160 steps. Both escalators have same speed. Find the number of steps on the escalator.
9MediumMCQ
Two people start from the same point on a circular track of km in the same direction with speeds km/h and km/h. If they keep running infinitely, at how many points do they meet each other?
- A
1
- B
4
- C
7
- D
infinite
10MediumMCQ
Shatabdi reduces speed by 10 km/hr in second half. Time rises by 20%. Find original speed.
- A
40
- B
70
- C
30
- D
35
11MediumMCQ
One-fifth of a journey is covered at 20 km/h, one-fourth at 50 km/h, and the rest at 55 km/h. Find the average speed.
- A
53 km/h
- B
40 km/h
- C
35 km/h
- D
38 km/h
12MediumMCQ
Three wheels making and revolutions in a minute start with a certain point in their circumference downwards. Find when they will again come together in the same position.
- A
seconds
- B
seconds
- C
seconds
- D
Never
13MediumMCQ
A train 220 m long moves at 90 km/h. A bird flies from the front end to the rear end at 108 km/h, then back to the front. What distance has the train advanced during this period?
- A
1200 m
- B
1000 m
- C
1500 m
- D
1600 m
14MediumMCQ
If a boat travels a certain distance upstream in hours and the same distance downstream in hours, and is defined as the time the boat would take the cover the same distance in still water, and is defined as the time the boat would take the cover the same distance downstream if it only moves by the flow of water and has zero velocity of its own, find out the value of .
- A
2
- B
5
- C
13/6
- D
1/5
15HardMCQ
P, Q and R start running on a circular track. They start at the same time and run in the same direction. P is the fastest of the three. When P finishes a lap, R is as much behind Q as Q is behind P. When P finishes three laps, R (who is yet to finish his first lap) is exactly at the same position as Q was when P finished the first lap. What is the ratio of Q and R?
- A
1 : 3
- B
3 : 1
- C
2 : 1
- D
3 : 2
16HardMCQ
In a downstream journey from City A to City B, a stream flows at a speed of 5 km/hr. Boats P and Q operate a shuttle service between the two cities, which are 300 km apart. Boat P departs from City A with a still-water speed of 25 km/hr, while Boat Q departs from City B at the same time with a still-water speed of 15 km/hr. When will the two boats first meet? When and where will they meet for the second time?
- A
7.5 hours and 15 hours
- B
7.5 hours and 18 hours
- C
8 hours and 18 hours
- D
7.5 hours and 20 hours
17HardMCQ
In a 1000m race, A beats B by 200m, and C beats B by 10 seconds. If C gives A a headstart of 250m, the race will end in a dead heat. Find the sum of the speeds of A and B in m/s.
- A
320/3
- B
120
- C
90
- D
350/3
18HardMCQ
Ram can beat Shyam by metres in a race. If Ram starts metres behind the start line and Shyam starts from the start line, Ram will still beat Shyam by metres. What is the length of the race?
- A
100 m
- B
150 m
- C
200 m
- D
250 m
- E
500 m
19HardMCQ
Bablu is planning to drive from his office to his hometown by car. He knows that if he travels at a speed of kmph more, he reaches the destination minutes early, and if he travels at a speed of kmph less, he reaches the destination minutes late. Find the distance between his office and hometown in kms.
- A
500
- B
400
- C
800
- D
600
20HardMCQ
Two friends, Ram and Shyam, start together. Ram goes north at 10 km/h, Shyam east at double that. After 15 minutes, Shyam sees a tower, and after another 15 minutes, Ram sees a banyan tree. Later, they both stop at the same time. If the straight-line distance between them is 50 km, how far is Shyam from the banyan tree?
- A
45
- B
20√5−5
- C
20√5+5
- D
115/3
- E
5√21
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Time, Speed and Distance for CAT, answered
What CAT asks in Time, Speed and Distance, the mistakes that cost the most marks, and how to practise it.
Basic speed-distance-time relationships, average speed, relative speed for objects moving in the same and opposite directions, trains crossing platforms and each other, boats and streams, circular track meetings, races and head starts, and the clock and escalator problems that reuse the same relative-speed idea.
Fix a reference frame before writing anything: decide whose position you are measuring from, then every other speed becomes a difference or a sum. Most errors in this topic come from mixing frames halfway through rather than from arithmetic.
It is the same relative-speed idea with the stream as the moving frame, so it does not need separate theory, but it does need separate practice, because the phrasing conventions (upstream, downstream, still water) are where candidates lose time rather than the concept.
Every question here has been checked against a worked solution before being published, and anything without a complete solution is not shown at all. The bank mixes questions written for CAT-level practice with questions from actual CAT papers; the previous-year questions are collected separately under CAT PYQs. The solutions themselves open in practice mode once you sign up, which is free.