SOLUTION: Raul can drive 2 times as fast as manuel can ride his bicycle. If it takes manuel 2 hours longer than raul to travel 96 miles, how fast can manuel ride his bicycle?

Question 915230: Raul can drive 2 times as fast as manuel can ride his bicycle. If it takes manuel 2 hours longer than raul to travel 96 miles, how fast can manuel ride his bicycle?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
let = Manuel's speed in mi/hr
= Raul's speed in mi/hr
Let = Raul's time in hrs
= Manuel's time in hrs
-----------------------------
Manuel's equation:
(1)
Raul's equation:
(2)
---------------------
(2)
Substitute (2) into (1)
(1)
(1)
(1)
(1)
Manuel's speed is 24 mi/hr
-------------------------
check:
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
OK

RELATED QUESTIONS
Jose can drive three times as fast as Manuel can ride his bicycle. If it takes Manuel 2... (answered by Theo,MathTherapy)

Rico can drive 2 times as fast as Manuel can ride his bicycle. If it takes Manuel 3 hours (answered by josgarithmetic)

Raul can drive 3 times as fast as Jose can ride his bicycle. If it takes Jose 2 hours... (answered by mananth)

Manuel can drive 3 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours (answered by Boreal,josgarithmetic)

Manuel can drive 4 times as fast as Carlos can ride his bicycle. If it takes Carlos 3... (answered by lwsshak3)

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)

Manuel can drive 5 times as fast miguel can ride his bicycle. If it takes Miguel 4 hours (answered by ankor@dixie-net.com)

pablo can ride 5 times as fast as manuel can ride his bike. if it takes manuel 4 hours... (answered by jorel1380)