SOLUTION: Manuel can drive 5 times as fast miguel can ride his bicycle. If it takes Miguel 4 hours longer than Manuel to travel 75 miles how fast can Miguel ride his bike?

Question 1039391: Manuel can drive 5 times as fast miguel can ride his bicycle. If it takes Miguel 4 hours longer than Manuel to travel 75 miles how fast can Miguel ride his bike?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Manuel can drive 5 times as fast Miguel can ride his bicycle.
If it takes Miguel 4 hours longer than Manuel to travel 75 miles how fast can Miguel ride his bike?
:
let s = Mi's speed on his bike
then
(5s) = Ma's speed in his car
:
Write a time equation; time = dist/speed
:
Bike time - Car time = 4 hrs
- = 4
multiply equation by 5s, cancel the denominators
5(75) - 75 = 5s(4)
375 - 75 = 20s
300 = 20s
s = 300/20
s = 15 mph on the bike
:
:
Check this by finding the actual time of each
5(15) = 75 mph is Ma's speed
75/15 = 5 hrs
75/75 = 1 hr
-----------------
time dif: 4 hrs

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