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

The speed of the skater is 18 km/h.

Step-by-step explanation:

To find the speed of the skater, we can set up a proportion using the information given. Let's let the speed of the skater be x km/h. Since the cyclist traveled 9 km/h faster than the skater, the speed of the cyclist would be x + 9 km/h. Now, we can set up the proportion:

(x + 9 km/h)/(45 km) = x km/h)/(30 km).

To solve this proportion, we can cross-multiply and solve for x:

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

30x + 270 = 45x

270 = 45x - 30x

270 = 15x

x = 18

Therefore, the speed of the skater is 18 km/h.