SOLUTION: Manuel can drive 3 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Manuel to travel 90 miles, how fast can Pablo ride his bicycle?

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Question 998637: Manuel can drive 3 times as fast as Pablo can ride his bicycle. If it takes Pablo 2 hours longer than Manuel to travel 90 miles, how fast can Pablo ride his bicycle?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
pablo speed=x
manuel speed=3x
3x*time=90; time for M. is 90/3x; units are miles/miles/hour=hours
x*(time+2)=90
time=90/3x
time+2=90/x
time=(90/x)-2
30./x=(90/x)-2=(90-2x)/x
The denominators cancel
30=90-2x
-60=-2x
x=30 mph for Pablo; ANSWER
3x=90 mph Manuel
It takes Manuel 1 hour to go 90 miles
It takes Pablo 3 hours to go 90 miles, 2 hours longer.

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
            rate         time        distance
Manuel       3r           t             90
Pablo         r           t+2           90


RT=D relates rate time distance.

system%283rt=90%2Cr%28t%2B2%29=90%29

system%28rt=30%2Crt%2B2r=90%29

30%2B2r=90

2r=90-30=60

highlight%28r=30%29