Time, Speed & Distance Questions with Solutions

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.

Two trains, A and B, start simultaneously from two stations $300km$ apart. Train A travels at $60km/h$, and Train B travels at $90km/h$. If a bird starts flying from Train A towards Train B at $120km/h$ and immediately turns back upon reaching Train B, continuing this until the trains meet, what total distance does the bird cover?

If a train travels 60 miles per hour, how long will it take to cover 120 miles?

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?

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 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 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 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.

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 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?

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?

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:

Navjivan Express from Ahmedabad to Chennai leaves Ahmedabad at 6:30 am and travels at 50 kmph towards Baroda, situated 100 km away. At 7:00 am Howrah-Ahmedabad Express leaves Baroda towards Ahmedabad and travels at 40 kmph. At 7:30 am Mr. Shah, the traffic controller at Baroda, realises that both trains are running on the same track. How much time does he have to avert a head-on collision between the two trains?

Two cars, Car A and Car B, are travelling on a highway. Car A starts from point X and travels at a constant speed of 60 km/h, while Car B starts from the same point X but travels at a constant speed of 80 km/h. If both cars travel for 1.5 hours, what is the difference in distance covered by Car B compared to Car A?