SOLUTION: Fred bicycles 7km/h slower than samantha. In the time it takes fred to bicycle 40km, samantha travels 68km. How fast does fred bicycles?

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Question 187089: Fred bicycles 7km/h slower than samantha. In the time it takes fred to bicycle 40km, samantha travels 68km. How fast does fred bicycles?
Answer by solver91311(24713) About Me  (Show Source):
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Use

Fred's trip:

d = 40 km, t unknown, but the same as Samantha's trip, r = Fred's rate of speed -- the answer we seek.

Samantha's trip:

d = 68 km, t unknown, but the same as Fred's trip, r = Fred's rate of speed so r + 7 = Samantha's rate of speed.

For Fred:



For Samantha:



But t = t, so:



Solve for r to get Fred's speed. Hint: First cross-multiply.

John