Question

A and B are two points 150 km apart on a highway. Two cars start with different speeds from A and B at same time. If they move in same direction, they meet in 15 hours. If they move in opposite direction, they meet in one hour. Find their speeds.

Answer 1

Given:Distance between points A and B are 150 km

Let, speed of car at "A" be x km/h
speed of car at "B" be y km/h
Distance covered by car  "A" in 15 hours = 15x
Distance covered by car "B" in 6 hours = 15y
Since both the cars  are travelling in the same direction, sign should be negative
15x - 15y = 150
15(x - y) = 150

x -y = 150/15
x -y = 10……………... (1)

Since both the cars  are travelling in opposite directions, sign should be positive.
x + y = 150 ------------ (2)

On Adding eq (1) and (2)

x -y = 10
x + y = 150            [by elimination method]
-----------------
2x = 160
x = 160/2
x = 80 km/h

On Putting x = 80 in eq. (1)
x -y = 10
80 -y = 10
-y = 10 -80
-y = -70
y = 70 km/h

Hence,the speeds of the two cars are 80 km/h & 70 km/h.

HOPE THIS WILL HELP YOU.....

Answer 2

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