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?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
let +s+ = Manuel's speed in mi/hr
+2s+ = Raul's speed in mi/hr
Let +t+ = Raul's time in hrs
+t+%2B+2+ = Manuel's time in hrs
-----------------------------
Manuel's equation:
(1) +96+=+s%2A%28+t%2B2+%29+
Raul's equation:
(2) +96+=+2s%2At+
---------------------
(2) +t+=+48%2Fs+
Substitute (2) into (1)
(1) +96+=+s%2A%28+48%2Fs+%2B+2+%29+
(1) +96+=+48+%2B+2s+
(1) +2s+=+48+
(1) +s+=+24+
Manuel's speed is 24 mi/hr
-------------------------
check:
(2) +96+=+2%2A24%2At+
(2) +96+=+48t+
(2) +t+=+2+
and
(1) +96+=+24%2A%28+t%2B2+%29+
(1) +96+=+24t+%2B+48+
(1) +24t+=+48+
(1) +t+=+2+
OK