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Standard X

Mathematics

Solving a Quadratic Equation by Factorization Method

The time take...

Question

The time taken by a person to cover 150 km was 2.5 hrs more than the time taken in the return journey. If he returned at a speed of 10 km/hr more than the speed of going, what was the speed per hour in each direction?

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Solution

Let the ongoing speed of person be. Then,

Returning speed of the person is.

Time taken by the person in going direction to cover

Time taken by the person in returning direction to cover

Therefore,

So, either

Or

But, the speed of the train can never be negative.

Thus, when then

Hence, ongoing speed of person is

and returning speed of the person is respectively.

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