Question :

Two places A and B are 120 km apart from each other on a highway. A car start from A and another from B at the same time. If they move in same direction, they meet in 6 hours and if they move in opposite directions they meet in 1 hour and 12 minutes. Find the speeds of the car.Submitted on 8/3/2024 | Answered by Vandana Rana

Answer :

Let the speed of car at A be = X km/hr
Let the speed of car at B be = y km/hr
Distance covered by car at A in 6 hours = 6x
and distance covered by car at B in 6 hours = 6y
∴ 6 x − 6 y = 120
x - y = 20 -----(1)
1 hour 12 minutes = 1+12/60
= = 6/ 5 h o u r
∴ 6/ 5 x + 6/ 5 y = 120
x + y = 100 .....(2)
Adding (1) and (2) we get
∴ 2x = 120
x= 60 Putting x = 60 in (2)
we get
y = 40
∴ Speeds of car are 60 km/h & 40 km/h.