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.

Answers

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.