Question

A and B are the two point 150 km apart on a highway two cars start with a different speed from A and B at the same time if they move in the same Direction they meet they move in the same Direction they meet in a 15 hour but if they move in opposite direction they meet in a one hour find the street

Answer 1

Answer:

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.....