Time, Speed & Distance Questions with Solutions

23 questions14 easy8 medium1 hard

Time, speed and distance questions are built on one relationship: distance = speed x time. The topic covers average speed, relative speed of objects moving in the same or opposite directions, problems on trains crossing poles, platforms and other trains, boats and streams, and races. Two shortcuts solve a large share of these questions. To convert km/h to m/s, multiply by 5/18. When equal distances are covered at speeds a and b, the average speed is 2ab/(a + b), not the simple average. For trains, remember that the distance covered while crossing includes the length of the train itself. Ratio reasoning also helps: at a constant distance, time is inversely proportional to speed. Practise the questions below on trains, boats, relative speed and average speed, each with a step-by-step solution.

All Questions Easy Medium Hard

Q1.
Two trains start at the same time from A and B, 200 km apart, towards each other and meet at a distance of 110 km from A. Find the ratio of the speeds of train A and train B.
A. 11 : 20B. 9 : 20C. 11 : 9D. 19 : 20
easyAsked in MAH MCA CET 2023View solution ›
Q2.
Two trains, A and B, start simultaneously from two stations $300 k m$ apart. Train A travels at $60 k m / h$ , and Train B travels at $90 k m / h$ . If a bird starts flying from Train A towards Train B at $120 k m / h$ and immediately turns back upon reaching Train B, continuing this until the trains meet, what total distance does the bird cover?
A. $360 k m$ B. $300 k m$ C. $240 k m$ D. $450 k m$
mediumAsked in MAH MCA CET 2025View solution ›
Q3.
Two trains, A and B, start simultaneously from two stations $300 k m$ apart. Train A travels at $60 k m / h$ , and Train B travels at $90 k m / h$ . If a bird starts flying from Train A towards Train B at $120 k m / h$ and immediately turns back upon reaching Train B, continuing this until the trains meet, what total distance does the bird cover?
A. $360 k m$ B. $300 k m$ C. $240 k m$ D. $450 k m$
easyAsked in MAH MCA CET 2025View solution ›
Q4.
If a train travels 60 miles per hour, how long will it take to cover 120 miles?
A. 1 hourB. 2 hoursC. 3 hoursD. 4 hours
easyAsked in MAH MCA CET 2024View solution ›
Q5.
A car covers 15 km, 20 km, 30 km and 12 km at speeds of 20 km/hr, 30 km/hr, 40 km/hr and 30 km/hr respectively The average speed of the car for the total journey is:
A. 25 km/hrB. 27 km/hrC. 30 km/hrD. 40 km/hr
mediumAsked in MAH MCA CET 2024View solution ›
Q6.
A 140 m long train crosses a platform in 30 seconds at a speed of 36 km/h. What is the length of the platform?
A. 150 mB. 155 mC. 160 mD. 165 m
easyAsked in MAH MCA CET 2024View solution ›
Q7.
Two cars travel from city A to city B at speeds of 42 km/hr and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between city A and city B is?
A. 336 kmB. 280 kmC. 420 kmD. 224 km
mediumAsked in MAH MCA CET 2024View solution ›
Q8.
The Rajdhani train, running at 54 km/hr, crosses a platform whose length equals the length of the train in 36 seconds. If the Duronto train, which is 230 metres long, crosses the same platform in 25 seconds, find the speed of the Duronto train (in km/hr).
A. 84 km/hrB. 72 km/hrC. 90 km/hrD. 54 km/hr
easyAsked in NIMCET 2023View solution ›
Q9.
A train takes 18 seconds to pass completely through a station 162 m long and 15 seconds through another station 120 m long, at the same speed. What is the length of the train, in metres?
A. 70B. 80C. 90D. 100
easyAsked in NIMCET 2013View solution ›
Q10.
Karan and Arjun run a 100 metres race, where Karan beats Arjun by 10 metres. To do a favour to Arjun, Karan starts 10 metres behind the starting line in a second 100 metre race. They both run at their earlier speeds. Which of the following is true in connection with the second race?
A. Karan and Arjun reach the finishing line simultaneouslyB. Arjun beats Karan by 1 metreC. Arjun beats Karan by 11 metresD. Karan beats Arjun by 1 metre
mediumAsked in NIMCET 2013View solution ›
Q11.
A car travels the first half of a distance with speed $v_{1}$ and the second half with speed $v_{2}$ . Its average speed for the whole journey is
A. $\frac{v _{1} + v _{2}}{2}$ B. $v_{1} v_{2}$ C. $\frac{2 v _{1} v _{2}}{v _{1} + v _{2}}$ D. none of these
easyAsked in NIMCET 2011View solution ›
Q12.
A culprit was spotted by the police from a distance of 250 m. When the police started running towards the culprit at 10 km/h, the culprit also fled at 8 km/h. Find how far the culprit had run before he was caught.
A. 2 kmB. 1 kmC. 1.5 kmD. 0.8 km
easyAsked in NIMCET 2010View solution ›
Q13.
A train travels 60 km and then, due to an accident, runs at $\frac{3}{4}$ of its former speed and reaches its destination 40 minutes late. If the accident had occurred 25 km further on, it would have arrived 10 minutes earlier (30 minutes late). Find the original speed of the train and the total distance.
A. 160 km/hr, 150 kmB. 160 km/hr, 140 kmC. 50 km/hr, 160 kmD. 40 km/hr, 160 km
hardAsked in NIMCET 2009View solution ›
Q14.
A motorboat going downstream passes a raft at point A. Exactly one hour later it turns back, and while coming upstream it passes the same raft at point B, 6 km from point A. What is the speed of the water current in km/hr?
A. 2.0B. 3.0C. 4.0D. 6.0
mediumAsked in NIMCET 2009View solution ›
Q15.
If a man walks at the rate of $4$ km/h, he misses a train by $6$ minutes. If he walks at $5$ km/h, he reaches the station $6$ minutes before the train. Find the distance (in km) to the station.
A. $4$ B. $7$ C. $9$ D. $5$
easyAsked in NIMCET 2008View solution ›
Q16.
A person travels on a cycle from home to church on a straight road with wind against him. He took $4$ hours to reach there. On the way back he took $3$ hours as the wind was in the same direction. If there is no wind, how much time does he take to travel from home to church?
A. 3 hours 35 minutes 12 secondsB. 3 hours 32 minutes 32 secondsC. 3 hours 30 minutes 00 secondsD. 3 hours 25 minutes 42 seconds
mediumAsked in NIMCET 2008View solution ›
Q17.
A runs $1 \frac{2}{3}$ times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?
A. 200 mB. 400 mC. 300 mD. 160 m
easyAsked in NIMCET 2020 +1View solution ›
Q18.
Mr. Kumar drives to work at an average speed of 48 Km/hr. The time taken to cover the first 60% of the distance is 10 minutes more than the time taken to cover the remaining distance. How far is his office?
A. 30 KmsB. 40 KmsC. 45 KmsD. 48 Kms
easyAsked in NIMCET 2020View solution ›
Q19.
If a man walks at the rate of 4 km/hr, he misses a train by only 6 minutes. However, if he walks at the rate of 5 km/hr, he reaches the station 6 minutes before the arrival of the train. The distance covered by him to reach the station is:
A. 4 kmB. 7 kmC. 9 kmD. 5 km
easyAsked in NIMCET 2020View solution ›
Q20.
A body travels from A to B in 10 s with a speed of 50 km/h and returns with a speed of 100 km/h in 5 s. The average speed and the average velocity for the whole journey are
A. 17.5 m per sec, 0 km/hB. 16.5 m per sec, 0 km/hC. 15.5 m per sec, 0 km/hD. 18.5 m per sec, 0 km/h
mediumAsked in NIMCET 2018View solution ›

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