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.
ii) The time taken by it to cross a platform m long.
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.
ii) The time taken by it to cross a bridge m long.
Question 3: A train m long passes a telegraph post in
. 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.
ii) The time taken by it to pass a platform meters long
Question 4: With a speed of km/hr, a train crosses a pole in
. Find the length of the train.
Answer:
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:
Question 6: A train m long takes
to cross a bridge
m long. Find:
Answer:
i) The speed of the train in km/hr
ii) Time taken by it to cross an electric pole.
Question 7: A train, m in length, crosses a man standing on a platform in
and a bridge in
. Find:
Answer:
i) The speed of the train in km/hr and
ii) The length of the bridge
Question 8: A train running at km/hr crosses a telegraph post in
and a platform in
. Find
Answer:
i) The length of the train and
ii) The length of the platform.
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:
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:
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:
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:
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:
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
. 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
ii) The time taken by the boat to go 22 km, upstream.
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:
Let the time taken to reach back
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:
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:
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:
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:
Therefore
Solving for and
we get