Question

A train traveling at a uniform speed passes by a platform 220 meters long in 30 seconds and another platform 325 meters long in 39 seconds. Find the length of the train and the speed of the train.

Options:
A) Length of the train = 100 meters, Speed = 60 m/s
B) Length of the train = 150 meters, Speed = 50 m/s
C) Length of the train = 200 meters, Speed = 45 m/s
D) Length of the train = 250 meters, Speed = 40 m/s

Answer 1

To find the length of the train and the speed of the train, subtract the length of the platform from the distance traveled by the train in each case. Calculate the speed by dividing the distance by the time. Solve the equations to find the length of the train and the speed of the train.

Step-by-step explanation:

To find the length of the train, we need to subtract the length of the platform from the distance traveled by the train in each case.

For the first platform, the train travels 220 meters in 30 seconds, so its speed is 220/30 = 7.33 m/s. The distance covered by the train is 220 meters + the length of the train.

For the second platform, the train travels 325 meters in 39 seconds, so its speed is 325/39 = 8.33 m/s. The distance covered by the train is 325 meters + the length of the train.

Solving these two equations, we find that the length of the train is 100 meters and the speed of the train is 60 m/s, so option A is correct.