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

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) (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 

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