SOLUTION: Here's the question: "A motorcycle travels 40 miles in the same time that a bicycle travels 15 miles. If the bike travels 20 miles per hour slower than the motorcycle, find the spe

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Question 437181: Here's the question: "A motorcycle travels 40 miles in the same time that a bicycle travels 15 miles. If the bike travels 20 miles per hour slower than the motorcycle, find the speed of the bike"
I've tried setting it up with this equation:
40+15=x-20
then solved.
55=x-20
35=x
I'm just not entirely sure that I have the equation set up right.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
bike travels 20 miles per hour slower
Let x and (x -20mph) represent speed of the motorcycle and bike reapectively
Question states*** NOte: D/r = t, Times same for both
40m/(x) = 15m/(x-20) Cross Multiplying
15x = 40(x-20)
800 = 25x
x = 32mph, speed of motorcycle. Speed of the Bike 12mph (32mph-20mph)
CHECKING our Answer***
40m/32mph = 15m/12mph = 1.25hr or 48min