Ques :- A and B are two points 150 km apart on a highway. Two cars start 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 the opposite direction, they meet in 1 hour. Find their speeds. [ Board Term-1, 2012, Set -62, 44]
Answers & Comments
Step-by-step explanation:
Then according to the question
When cars move in the same direction till 15 Hour . then,
Distance covered by the car at A− distance covered by the car at B =150km
i.e.,15x−15y=150
Also according to the question when the car moves in opposite direction till 1 Hour. Then,
Distance covered by the car at A = distance covered by the car at B =150km
i.e.,1x+1y=150
Solving eq. 1 and 2 we get,
x=80 km per hour
and ,y=70 km per hour
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