SOLUTION: a racing bike travels at 15 km/h faster than a touring bike. if the racing bike travels 80km/hr in the same time as the touring bike travels 50 km, how fast is each bike?

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Question 547737: a racing bike travels at 15 km/h faster than a touring bike. if the racing bike travels 80km/hr in the same time as the touring bike travels 50 km, how fast is each bike?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Touring Bike x 50 miles
Racing Bike x+ 15 80 miles

t=d/r
50 / x = 80 / ( x+ + 15 )
Cross multiply
50(x+15 ) = 80 * x
50x+750 =80x
80x-50 x = 750
30 x = 750
/ 30
x = 25 Touring Bike mph
40 Racing Bike mph