Question

A man travels $600$ km partly by train and partly by car. If he covers $400$ km by train and the rest by car, it takes him $6$ hours and $30$ minutes. But, if he travels $200$ km by train and the rest by car, he takes half an hour longer. Find the speed of the train and that of the car.

Answer 1

Time taken $=\frac{400}{V_t}+\frac{200}{V_c}=6.5hrs$ ..........(1)

Time taken $=\frac{200}{V_t}+\frac{400}{V_c}=7hrs$ ...............(2)

Solving (1),(2) $=\frac{600}{V_c}=7.5$

$V_c=80km/hr$

$V_t=100km/hr$