Question

place A&B are 150 km apart, a car starts from A
& another from B at same time, If they move in
opposite direction, they meet in one hour. Find their speed.
A​

Answer 1

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Asked on December 27, 2019 by

Tejo Baliyan

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]

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ANSWER

Let the speed of Car which starts from A be x km per hour

And the speed of the Car which starts from B be y km per hour

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 .........................1

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 ...................2

Solving eq. 1 and 2 we get,

x=80 km per hour

and ,y=70 km per hour