Question

A cyclist traveled 15 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 12 kilometers, the skater had gone 6 kilometers. Find the speed of the skater.

Answer 1

Answer:

The speed of the skater is 15 kilometers per hour.

Step-by-step explanation:

Let x be the rate of the skater.

Then the rate of the cyclist is x+15.

Let t represents time, so we get two equations:

(x+15)t = 12 and xt = 6

Now, solving for t;

$t=\frac{12}{x+15}$ and $t=\frac{6}{x}$

As t is the same for the skater and the cyclist, we will equate both the equations now.

$\frac{12}{x+15}=\frac{6}{x}$

Solving for x;

$12x=6(x+15)$

=> $12x=6x+90$

=> $12x-6x=90$

=> $6x=90$

x = 15

Hence, the speed of the skater is 15 kilometers per hour.

Answer 2

Answer:

Step-by-step explanation:

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