Question

A cyclist traveled 9 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 45 kilometers, the skater had gone 30 kilometers. What’s the speed of the skater?

Answer 1

Therefore, the speed of the skater is 6 kilometers per hour.

Step-by-step explanation:

speed of the skater as in kilometers per hour = x

speed of the cyclist = x + 9

45/(x + 9) = 30/(x)

45x = 30x + 270

45x - 30x = 270

15x = 270

x = 270/15

x = 18

x + 9 = 18

x = 18 - 9

x = 9

9/45 = x/30

45x = 270

x = 270/45

x = 6

Therefore, the speed of the skater is 6 kilometers per hour.