Question

A and b are two points 150 km apart a highway,two cars start with different speeds from a and b at sametime.if they move in the same direction,they meet in 15 hrs but if tjey move inbthe opposite direction,they meet in 1 hr.find their speed

Answer 1

Given that two cars start with different speeds from point A to B at same time.

Let the speed of the car at A be x km/hr and speed of the car at B be y km/hr.

= > Given that if they move in same direction, they meet in 15 hours.

We know that Time = Distance/Speed

15 = 150/x - y

= > (x - y) * 15 = 150

= > 15x - 15y = 150

= > x - y = 10 ------------- (1)

Given that if they move in opposite direction, they meet in 1 hour.

= > 1 = 150/x + y

= > x + y = 150 -------------- (2)

On solving (1) & (2), we get

x - y = 10

x + y = 150

---------------

2x = 160

x = 80

Substitute x = 80 in (1), we get

= > x - y = 10

= > 80 - y = 10

= > y = 70.

Therefore, the speeds of the cars are 80 km/hr & 70 km/hr.

Hope this helps!

Answer 2

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