Question

(IV) Places A and B are 100 km apart on a highway. One car starts from A and another
from B at the same time. If the cars travel in the same direction at different speeds
they meet in 5 hours. If they travel towards each other, they meet in 1 hour. What
are the speeds of the two cars?​

Answer 1

Let the speed of car at A be x kmph

and the speed of car at B be y kmph

As per the question,

5x - 5y = 100

x - y = 20 ... (1)

and x + y = 100 ... (2)

Solving (1) and (2), we get,

x = 60 and y = 40

Speed of the car at A = 60 kmph

Speed of the car at B = 40 kmph

Answer 2

speed of the car at A = 60 kmph

speed of the car at B = 40 kmph