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

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Question 1008327: a cyclist traveled 20 kilometers per hour faster than an in-line skater. In the time it took the cyclist 80 kilometers, the skater had gone 30 kilometers. Find the speed of the skater
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

skater x km/h
cyclist 20 faster x + 20 km/h

skater 30 km
cyclist 80 km
skater time = cyclist time
t=d/r
30 / x = 80 /( x + 20
cross multiply
30 ( x + 20 ) = 80 x
30 x + 600 = 80 x
30 x - 80 x = -600
-50 x = -600
/ -50
x = 12 km/h


12 km/h skater