Answer:
The speed of the skater is 11 km/h.
Step-by-step explanation:
Let v represent the speed of the skater. If we use the formula x = vt, where x is the distance, v is the speed, and t is the time:
9 = vt (1)
Since the cyclist traveled to 11 kilometers per hour faster than the skater, the speed of the cyclist is v+11 and time is same for both:
18 = (v+11)t (2)
From the equation 1, t = 9/v
From the equation 2, t = 18/(v+11)
Since the t's are equal:
→ 9/v = 18/(v+11)
→ 9(v+11) = 18v
→ 9v + 99 = 18v
→ 9v = 99
→ v = 11
