Question

A cyclist traveled kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel kilometers, the skater had gone kilometers. Find the speed of the skater.

Answer 1

The speed of skaters was 10 km per hr.

How to solve?

Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.

Let the speed of the skater be x

We know, speed = $\frac{Distance}{Time}$

According to the question:

$\frac{20}{x} = \frac{40}{x + 10}$

Cross multiplying both sides,

20(x+10) = 40x

20x + 200 = 40x

20x = 200

x = 10

Thus, the speed of skaters was 10 km per hr.

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