Question

A and B are two points 150 km apart on a highwaytwo 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 the opposite direction they meet in 1 hours. find their speed .

Answer 1

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Answer 2

Concept Introduction:-

It is a type of mathematics which includes counting with numbers in which adding, subtracting, multiplying and also dividing is present.

Given:-

We have been given two points and time and distance.

To Find:-

We have to find their relative speed.

Solution:-

According to the problem

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

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

When two cars move in the same direction till 15 Hour .

Distance covered by the first car at A− distance covered by the second 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

So eq. 1 and 2 we get,

x=80 kilometer per hour

y=70 kilometer per hour

Final Answer:-

Final answer is 80 kilometer and 70 kilometer per hour

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