A and B are two points 150 km apart on a highway. Two cars start with different speeds from A
and B at the same time. If they move in the same direction, they meet in 15 hours but if they move
in opposite direction, they meet in one hour. Find their speeds.
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Let the speed of car at point A be = x km/hr
And that of car at point B be = y km/hr
If both the cars move in same direction then they will meet in 15 hours, this can be written as,
distance = speed x time
15x - 15y = 150
⇒ x - y = 10......................(1)
and if both move in same direction then they will meet after 1 hour, this can be written as,
x + y = 150......................(2)
Solving (1) and (2), we get,
x - y = 10
x + y = 150
⇒ 2x = 160
⇒ x = 80 km/hr
Substituting x = 80 km/hr in (1), we get,
y = 70 km/hr
Hence, the speed of car at point A was 80 km/hr and That of car at B was 70 km/hr.
Thank you......
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