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Select the correct answerA cyclist travels a certain distance in 6 hours at a uniform speed. In return, he increases his speed by 2 kmph. and covers the same distance in 5 hours. What was his speed initially?Options12.5 kmph10.5 kmph.12 kmph10 kmph

Question

Select the correct answerA cyclist travels a certain distance in 6 hours at a uniform speed. In return, he increases his speed by 2 kmph. and covers the same distance in 5 hours. What was his speed initially?Options12.5 kmph10.5 kmph.12 kmph10 kmph

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Solution

Let's denote the initial speed of the cyclist as x kmph. Therefore, the speed during the return trip is x + 2 kmph.

According to the problem, the cyclist travels the same distance in both directions. We know that distance is equal to speed multiplied by time. Therefore, we can set up the following equation:

6x = 5(x + 2)

Solving this equation will give us the initial speed of the cyclist.

First, distribute the 5 on the right side of the equation:

6x = 5x + 10

Then, subtract 5x from both sides to isolate x:

x = 10

Therefore, the cyclist's initial speed was 10 kmph.

This problem has been solved

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