Question 1: A train m long is running at a uniform speed of km/ hr. Find:

i) The time taken by it to cross a man standing on the platform.

ii) The time taken by it to cross a platform m long.

Answer:

i) The time taken by it to cross a man standing on the platform.

Length of the Train

Speed of the Train

Time Taken

ii) The time taken by it to cross a platform m long.

Length of the Train

Speed of the Train

Length of the platform

Time Taken

Question 2: A train m long is running at a uniform speed, of km / hr. Find:

i) The time taken by it to cross a telephonic pole.

ii) The time taken by it to cross a bridge m long.

Answer:

i) The time taken by it to cross a telephonic pole.

Length of the Train

Speed of the Train

Time Taken

ii) The time taken by it to cross a bridge m long.

Length of the bridge

Time Taken

Question 3: A train m long passes a telegraph post in seconds. Find:

i) Its speed in km/hr.

ii) The time taken by it to pass a platform meters long

Answer:

i) Its speed in km/hr.

Length of the Train

Time taken by the Train

Let the speed be

ii) The time taken by it to pass a platform meters long

Length of the Platform

Time Taken

Question 4: With a speed of km/hr, a train crosses a pole in seconds. Find the length of the train.

Answer:

Let the length of the train

Question 5: A train m long is running at km/hr. If it crosses a tunnel in one minute, find the length of the tunnel.

Answer:

Let the length of the train

Question 6: A train m long takes seconds to cross a bridge m long. Find:

Answer:

i) The speed of the train in km/hr

Let the speed be

ii) Time taken by it to cross an electric pole.

Time Taken

Question 7: A train, m in length, crosses a man standing on a platform in seconds and a bridge in seconds. Find:

Answer:

i) The speed of the train in km/hr and

Let the speed be

ii) The length of the bridge

Let the length of the bridge be

Question 8: A train running at km/hr crosses a telegraph post in seconds and a platform in seconds. Find

Answer:

i) The length of the train and

Let the length of the train

ii) The length of the platform.

Let the length of the platform be

Question 9: Two cars are km apart. They start at the same time and drive towards each other. One travels at km/hr and the other travels at km/hr. How much time do they take to meet each other?

Answer:

Time taken

Question 10: In how much time will a train m long, running at km/hr pass a man, running at km/hr in the same direction in which the train is going?

Answer:

Time taken

Question 11: In how much time will a train m long, running at km/hr pass a man, running at km/hr in a direction opposite to that in which the train is going?

Answer:

Time taken

Question 12: A and B are two trains of lengths m and m respectively. They are running on parallel rails at km/hr and km/hr respectively in opposite directions. In how much time will they be clear of each other from the moment they meet?

Answer:

Time taken

Question 13: A and B are two trains of lengths m and m. They are running on parallel rails in the same direction at km/hr and km/hr respectively. In how much time will A pass B completely, from the moment they meet?

Answer:

Time taken

Question 14: A train m long, travelling at km/hr, overtakes another train travelling in the same direction at km/hr and passes it completely in seconds. Find the length of the second train.

Answer:

Let the length of the second train

Question 15: The speed of a boat in still water is km/hr and the speed of the stream is km/hr Find:

Answer:

i) The time taken by the boat to go km downstream

Time taken

ii) The time taken by the boat to go 22 km, upstream.

Time taken

Question 16: A stream is flowing at km/hr. A boat with a speed of km/hr in still water is rowed upstream for hours. Find the distance rowed. How long will it take to return to the starting point?

Answer:

Speed of Stream

Speed of boat in still water

Time rowed upsteram

Let the distance covered

Let the time taken to reach back

Time taken

Question 17: The speed of a boat in still water is km/hr. It is rowed upstream for a distance of km in hours. Find the speed of the stream.

Answer:

Let the speed of Stream

Speed of boat in still water

Time rowed upsteram

Distance covered

Question 18: A stream is flowing at km/hr. A boat is rowed downstream for a distance of km in hours. Find the speed of the boat in still water.

Answer:

Speed of Stream

Let the Speed of boat in still water

Time rowed down stream

Distance covered

Question 19: The speed of a boat in still water is km/hr and the speed of the stream is km/hr. The boat is rowed upstream for a certain distance and taken back to the starting point. Find the average speed for the whole journey.

Answer:

Speed of Stream

Speed of boat in still water

Let the distance covered upstream

Total time taken to cover the journey

Total distance covered

Question 20: The speed of a boat downstream is km/hr and its speed upstream is km/hr. Find the speed of the boat in still water and the rate of the stream.

Answer:

Let the Speed of Stream

Let the Speed of boat in still water

Therefore

Solving for and we get