Question

Points A and B are 90 km apart from

each other on a highway. A car starts

from A with speed x km/h and another

from B with speed y km/h at same time.

If they go in the same direction they meet in 9 h then linear equation representing the above situation is​

Answer 1

Answer:

Let X and Y be two cars starting from points A and B respectively. Let the speed of car X be x km/hr and that of car Y be y km/hr.

Case I When two cars move in the same directions:

Suppose two cars meet at point Q. Then,

Distance travelled by car X=AQ,

Distance travelled by car Y=BQ

It is given that two cars meet in 9 hours.

∴ Distance travelled by car X in 9 hours =9x km.

⇒AQ=9x

Distance travelled by car y in 9 hours =9y km.

⇒BQ=9y

Clearly,AQ-BQ=AB

9x -9y=90

x-y=10Case II When two cars move in opposite directions:

Suppose two cars meet at point P. Then,

Distance travelled by car X = AP,

Distance travelled by car Y = BP

In this case, two cars meet in

alright the answer is

x=40 and y=30