Question

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 cost travel in the same direction at different speeds they meet in 5 hours if they travel towards each other they meet in one hour what are the speed of the two cars.

Answer 1

Case 1:
When the cars are going in the same direction
Relative speed = x - y
Distance = 100 km
$Time=\frac{100}{x-y}=5hrs$
$x-y=\frac{100}{5}=20$
$x-y=20....\left(1\right)$
Case 2:
When the cars are going in the opposite direction
Relative speed = x + y
$Time=\frac{100}{x-y}=1hrs$
$x+y=100....\left(2\right)$
Solving the equations (1) and (2),
x = 60
y = 40
Hence the speeds of the cars are 60 km/hr and 40 km/hr.