Question

Two trains A and B start from two places P and Q towards Q and P respectively. After passing each other they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Q and P respectively. If the train from P is moving at 45 km/h then find the speed of another train.

A. 69 km/h
B. 74 km/h
C. 54 km/h
D. 64 km/h
E. 72 km/h

Answer 1

The speed of the second train is approximately 65 km/h.

Step-by-step explanation:

To find the speed of the second train, we need to determine the distance between P and Q. Let's assume that the distance is 'd' kilometers.

Train A takes 4 hours 48 minutes to cover the distance 'd' when moving towards Q. This can be written as 4.8 hours.

Similarly, Train B takes 3 hours 20 minutes to cover the distance 'd' when moving towards P. This can be written as 3.33 hours.

Let's use the formula:

speed = distance/time

For Train A, speed = d/4.8 km/h

For Train B, speed = d/3.33 km/h

Since the speed of the train from P is given as 45 km/h, we can set up the equation:

45 = d/4.8

d = 216 km

Therefore, the speed of the second train is d/3.33 = 216/3.33 = 64.864 km/h, which is approximately 65 km/h.