Question

2 trains simultaneously start from stations P and Q 500 km apart and meet after 5 hours. If the difference between their speeds is 20 km/hr, find their speeds.

Answer 1

u must specify that they move in same direction to different

Answer 2

The speed of the first train x = 60 $\frac{km}{hr}$

The speed of the second train y = 40 $\frac{km}{hr}$

Step-by-step explanation:

Distance = 200 km

Let the speed of the first train = x $\frac{km}{hr}$

The speed of the first train = y $\frac{km}{hr}$

Time taken by both trains to meet = 5 hours

Relative speed of both trains = x + y $\frac{km}{hr}$ & it is given by

$x + y = \frac{500}{5}$

x + y = 100 ------ (1)

Given that difference in their speed is

x - y = 20 ------ (2)

By adding equation (1) & (2) we get

2 x = 120

x = 60 $\frac{km}{hr}$

This is the speed of the first train.

& y = 100 - x

⇒ y = 100 - 60

⇒ y = 40 $\frac{km}{hr}$

This is the speed of the second train.