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
Preview 20 questions below, then sign up free to solve them in practice mode with worked solutions, and to reach all 820.
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197 easy315 medium308 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
8MediumMCQ
Two people, P and Q, are 330 km apart at 1:00 p.m. Person P starts moving towards Q immediately at a speed of 25 km/h. At 3:00 p.m., person Q also starts moving towards P at a speed of 15 km/h. At what time will they meet?
- A
9:45 pm
- B
10:15 pm
- C
9:30 pm
- D
10 pm
9MediumTITA
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.
10MediumMCQ
A robot starts from its base at time t = 0 and travels along a straight corridor at a constant 10 m/s. It attends to service requests one at a time in the order received, moving without pause from each device to the next, and attending to a device takes negligible time. Device X requests service at t = 0 and lies 40 m from the base. Device Y requests service at t = 0 and lies 60 m beyond X. Device Z requests service at t = 6 s and lies 20 m beyond Y. Device W requests service at t = 12 s and lies 50 m beyond Z. How far has the robot travelled by the time it reaches W?
- A
110 m
- B
120 m
- C
150 m
- D
170 m
11MediumMCQ
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
12MediumMCQ
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
13MediumMCQ
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
14MediumMCQ
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
15HardMCQ
A man was wearing a hat and riding a bike at 20 km/hr. A monkey moving in the opposite direction grabbed the hat and started running. After the man had traveled 5 km, he realized his hat was missing, so he turned around and chased the monkey. What is the speed of the monkey if the total time the hat was with the monkey is 1.5 hours? (Assume time spent in snatching is negligible.)
- A
12 1/4 km/hr
- B
13 1/3 km/hr
- C
13 1/2 km/hr
- D
12 1/3 km/hr
16HardMCQ
Two friends start running from points A and B towards B and A respectively. They met at a point which is 20m away from B and continued running towards their respective directions. After reaching their respective destinations, they turned around and ran in the opposite directions. If the second meeting point is 40m away from the first meeting, find the distance between points A and B.
- A
80m
- B
60m
- C
120m
- D
110m
17HardMCQ
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
18HardMCQ
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
19HardMCQ
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
20HardMCQ
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
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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.