Question

Apassenger train,running at aspeed of 80km/hr leaves a railway station 6 hours after a goods train leaves and overtakes it in 4 hours. What is the speed of the goods train?

Answer 1

120 km/hr..... Speed........

Answer 2

Answer:

The speed of the goods train$=S_{g}=32\text{ km/hr}$

Step-by-step explanation:

Given,

the speed of the passenger train$=S_{p}=80\text{ km/hr}$

Consider the speed of the goods train$=S_{g}=x\text{ km/hr}$

Passenger train leaves the railway station 6 hours after a goods train leaves.

Passenger train overtakes the goods train in 4 hours.

Therefore distance traveled by passenger train in 4 hr is equal to the distance traveled by the good train in (6+4)=10 hours.

Therefore,

The distance traveled by passenger train in 4 hr$=D_{p}=4\times80=320\text{ km}$

The distance traveled by goods train in 10 hr$=D_{g}=10\times{x}=10x\text{ km}$

As the distance traveled by passenger train in 4 hr is equal to the distance traveled by the good train in (6+4)=10 hours.

$\therefore, 10x=320\\\\\Rightarrow x=\frac{320}{10}=32$

The speed of the goods train$=S_{g}=32\text{ km/hr}$