SOLUTION: One cyclist can ride 2 miles per hour faster than another cyclist. If it takes the first cyclist 2 hours and 20 minutes to ride as far as the second cyclist rides in 2 hours, how

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Question 413094: One cyclist can ride 2 miles per hour faster than another cyclist. If it takes the first cyclist 2 hours and 20 minutes to ride as far as the second cyclist rides in 2 hours, how fast can each go?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (x+2)represent the speeds of the slower and faster cyclist respectively

Question states*** Note: D = r*t; distance the same for both

 x*(7/3hr) = (x+2)*2hr     | 2 hours and 20 minutes = 7/3 hr

Solving for x

   7x = 6(x+2)

    x = 12mph, speed of the slower cyclist.  The faster speed is 14mph



 CHECKING our Answer***

   (7/3hr)12mph = 2hr*14mph = 28mi