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?

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?

Let speed of faster car = x Km/ h

Speed of slower car = y km /h

Relative speed when both car travels in same direction = x - y

If the cars travel in the same direction at different speeds, they meet in 5 hours

Speed = distance/ time

Total distance  = 100 km

Speed x – y = 100/5

X – y = 20

Add y both side we get

X = 20 + y                              …(1)

Relative speed when both car travels in opposite direction = x + y

If they travel towards each other, they meet in 1 hour.

Speed = distance/ time

Total distance  = 100 km

Speed x  + y = 100/1

Plug the value of x form equation first we get

20 + y + y = 100

2y = 80

Y = 40

Plug the value of y in equation first we get

X  = 20 + 40

X = 60

Hence speeds are 40 Km /h and 60 Km /h