Question

A train leaves from a station and moves at a certain speed. After 2 hrs, another train leaves from the same station and moves in the same direction at a speed of 60mph. If it catches up with the 1st train in 4 hrs, what is the speed of the 1st train?

Answer 1

Let's denote the speed of the first train as v mph.

The first train travels for a total of 2 hours before the second train starts. Therefore, the distance traveled by the first train is given by:

Distance = Speed × Time Distance = v mph × 2 hours Distance = 2v miles

The second train catches up with the first train in 4 hours. In this time, the second train covers the same distance as the first train. So, the distance covered by the second train is:

Distance = Speed × Time Distance = 60 mph × 4 hours Distance = 240 miles

Since both trains cover the same distance, we can set up the equation:

2v = 240

Solving for v:

v = 240 / 2 v = 120

Therefore, the speed of the first train is 120 mph.