Question

A man covered a certain distance of one side by cycle and other side by scooter in 2 hours 20 minutes.if he had covered the total distance by cycle then time consumed was 3hours 30minutes.in what time he can cover the total distance by scooter?

Answer 1

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Answer 2

It would take 1 hour 10 minutes to cover the total distance by scooter.

Step-by-step explanation:

Consider the provided information.

$Speed=\frac{Distance}{Time}$

Let x represents the one side distance, c represents the speed of cycle and s represent the speed of scooter.

Then the total distance is 2x.

If he had covered the total distance by cycle then time consumed was 3 hours 30 minutes.

$\frac{2x}{c}=3\frac{30}{60}\\\\\frac{2x}{c}=3\frac{1}{2}\\\\\frac{x}{c}=\frac{7}{4}$

Man covered a certain distance of one side by cycle and other side by scooter in 2 hours 20 minutes.

$\frac{x}{c}+\frac{x}{s}=2\frac{20}{60}=\frac{7}{3}$

Substitute the respected values in the above.

$\frac{7}{4}+\frac{x}{s}=\frac{7}{3}\\\\\frac{x}{s}=\frac{7}{3}-\frac{7}{4}\\\\\frac{x}{s}=\frac{7}{12}$

Total distance is 2x so multiply both sides by 2.

$\frac{2x}{s}=\frac{7}{12}\times2\\\\\frac{2x}{s}=\frac{7}{6}$

Thus, total time taken is: $\frac{7}{6} \times60=70 \ minutes$

Hence, it would take 1 hour 10 minutes to cover the total distance by scooter.

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