distance and time

Distance Time Speed

1. A 160-meter-long train crosses a 160-meter-long platform in 16 seconds. What is the speed of the train?

2. A train with constant speed passes a 70-meter-long platform in 12 seconds and a 120-meter-long platform in 15 seconds. Find the length and speed of the train.

3. A 220-meter-long train is running at a speed of 39km/hr . In how much time will it pass completely?

4. A man's speed with the current is 15 km/hr, and the speed of the current is 2.5 km/hr. What is the man's speed against the current?

5. A man can row at 6 km/hr in still water. It takes him twice as long to row upstream as it does to row downstream. Find the rate of the stream.

6. A man can row at 7.5 kilometers per hour in still water. If he is rowing in a river with a current of 1.5 kilometers per hour, and it takes him 50 minutes to row to a place and back, how far is his destination?

7. By walking at three-fourths of his usual speed, a man reaches his office 20 minutes later than his usual time. What is his usual time?

8. A train travels at a speed of 30 kilometers per hour for 12 minutes and then at a speed of 45 kilometers per hour for the next 8 minutes. What is the average speed of the train?

9. Two bodies, A and B, start at the same time to ride from Delhi to Meerut, 60 kilometers away. A travels 4 kilometers per hour slower than B. When A reaches 12 kilometers from Meerut, he turns back and meets B. If B's speed is 8 kilometers per hour, find A's speed.

10. A and B walk around a circular track. They start at 8 AM from the same point in opposite directions, completing 3 rounds per hour and 5 rounds per hour, respectively. How many times shall they cross each other before 9:30 AM?

1. A train 132 meters long passes a telegraph pole in 6 seconds. What is the speed of the train?
   ✅ Ans: 79.2 km/h

2. A train running at a speed of 60 km/h crosses a 200-meter-long platform in 27 seconds. What is the length of the train?
   ✅ Ans: 250 meters

3. A train 150 meters long takes 30 seconds to cross a bridge 500 meters long. How much time will the train take to cross a 370-meter-long platform?
   ✅ Ans: 24 seconds

4. A train 110 meters long is running at 60 kilometers per hour. At what time will it pass a man who is running at 6 km/h in the opposite direction?
   ✅ Ans: 6 seconds

5. Two trains of equal length are running on parallel tracks in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 seconds. What is the length of each train?
   ✅ Ans: 50 meters

6. A man rows 32 kilometers downstream and 14 kilometers upstream, taking 6 hours for each journey. What is the velocity of the current?
   ✅ Ans: 1.5 km/h

7. If a boat travels 7 kilometers upstream in 42 minutes, and the speed of the stream is 3 km/h, what is the boat's speed in still water?
   ✅ Ans: 13 km/h

8. The speed of a boat in still water is 10 km/h. If it can travel 26 kilometers downstream and 14 kilometers upstream in the same time, what is the speed of the stream?
   ✅ Ans: 3 km/h

9. A man can row at 5km/h in still water. The velocity of the current is 1km/h. It takes him 1 hour to row to a place and back. How far is the place?
   ✅ Ans: 2.4 km

10. A goods train leaves a station at a fixed speed. After six hours, an express train leaves the same station and moves in the same direction at 90 kilometers per hour. The express train catches up with the goods train in four hours. What is the speed of the goods train?
    ✅ Ans: 60 km/h

11. A thief is spotted by a policeman 100 meters away. As the policeman starts chasing, the thief also starts running. If the speed of the thief is 5 kilometers per hour and that of the policeman is 10 kilometers per hour, how far will the thief run before being overtaken?
    ✅ Ans: 100 meters

12. Person $A$ walks around a circular field at the rate of one round per hour, while Person $B$ runs around it at 6 rounds per hour. They start in the same direction at the same point at 7:30 AM. When will they first cross each other?
    ✅ Ans: 7:42 AM