SOLUTION: Pedro can drive 4 times as fast as Rico can ride his bicycle. If it takes Rico 3 hours longer than Pedro to travel 76 miles, how fast can Rico ride his bicycle?

Question 1185854: Pedro can drive 4 times as fast as Rico can ride his bicycle. If it takes Rico 3 hours longer than Pedro to travel 76 miles, how fast can Rico ride his bicycle?

Found 4 solutions by ankor@dixie-net.com, josgarithmetic, greenestamps, ikleyn:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
let s = Rico's bicycle's speed
"Pedro can drive 4 times as fast as Rico can ride his bicycle."
therefore
4s = Pedro's speed
:
If it takes Rico 3 hours longer than Pedro to travel 76 miles, how fast can Rico ride his bicycle?
Write a time equation, time = dist/speed
R's time - P's time = 3 hrs
- = 3
multiply eq by 4s, cancel the denominators
4(76) - 76 = 3(4s)
304 - 76 = 12s
228 = 12s
s = 228/12
s = 19 mph is Rico's speed on his bike
:
:
Check this, P's speed: 4 * 19 = 76 mph
76/19 = 4 hrs
76/76 = 1 hrs
------------
differ: 3 hrs
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE Pedro 4r 76/(4r) 76 Rico r 76/r 76 DIFFERENCE 3

Simplify and solve.
Answer by greenestamps(13203)   (Show Source): You can put this solution on YOUR website!

You have received two similar responses showing solving the problem using expressions for the two speeds.

But since the given information is that Rico's travel time is 3 hours longer than Pedro's, the problem is easier to set up and solve using times instead of speeds.

Since Pedro drives 4 times as fast as Rico rides, Rico takes 4 times as long as Pedro to cover any particular distance. So

Let x = Pedro's time to drive 76 miles
Then 4x = Rico's time to ride 76 miles

Rico's time to travel 76 miles is 3 hours longer than Pedro's:

4x-x=3
3x=3
x=1

Rico's time to travel 76 miles is 4x = 4 hours, so his speed is 76/4 = 19mph.

ANSWER: 19mph

Answer by ikleyn(52832)   (Show Source): You can put this solution on YOUR website!
.

Write the time equation - = 3 hours. - = 3 = 3 r = = 19 miles per hour (Rico's rate). ANSWER

Solved.

RELATED QUESTIONS
Pedro can drive 4 times as fast as Rico can ride his bicycle. If it takes Rico 3 hours... (answered by mananth)
Rico can drive 4 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours... (answered by ikleyn)
Luis can drive 3 times as fast as Rico can ride his bicycle. If it takes Rico 4 hours... (answered by josgarithmetic,MathTherapy)
Manuel can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours (answered by josgarithmetic,MathTherapy)
Manuel can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours (answered by stanbon)
Jose can drive 5 times as fast as Pedro can ride his bicycle. If it takes Pedro 4 hours... (answered by jorel1380)
Rico can drive 3 times as fast as jose can ride his bicycle. If it takes jose 2 hours... (answered by lwsshak3)
Rico can drive 2 times as fast as Manuel can ride his bicycle. If it takes Manuel 3 hours (answered by josgarithmetic)
Rico can drive 2 times as fast as Luis can ride his bicycle. If it takes Luis 2 hours... (answered by josgarithmetic,MathTherapy,addingup)