SOLUTION: A cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 80 kilometers, the skater had gone 30 kilometers. Find the speed

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Question 1057045: A cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 80 kilometers, the skater had gone 30 kilometers. Find the speed of the skater.
Answer by ikleyn(52835) About Me  (Show Source):
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A cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it took the cyclist to travel 80 kilometers,
the skater had gone 30 kilometers. Find the speed of the skater.
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80%2F%28s%2B20%29 = 30%2Fs,

80s = 30(s+20),

80s = 30s + 600,

50s = 600,

s = 12 km/h is the skater speed.

Answer. Skater speed is 12 km/h,  cyclist speed is 12+20 = 32 km/h.