SOLUTION: Manuel can drive 3 times faster then Carlos can ride his bike. if it takes Carlos 2 hours longer than Manuel to travel 21 miles, how fast can Carlos ride his bike? 21 21 __

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Question 1027487: Manuel can drive 3 times faster then Carlos can ride his bike. if it takes Carlos 2 hours longer than Manuel to travel 21 miles, how fast can Carlos ride his bike?
21 21
__ - __ = 2 ??
5x x
Need help setting this problem up.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
21/(5x)-21/x=2

Put between triple left braces and triple right braces,


Simplest common denominator is 5x.
Multiply the left member and the right member by 5x.



Simplify! Continue on to solve.
Answer by MathTherapy(10557)   (Show Source): You can put this solution on YOUR website!
Manuel can drive 3 times faster then Carlos can ride his bike. if it takes Carlos 2 hours longer than Manuel to travel 21 miles, how fast can Carlos ride his bike?
21 21
__ - __ = 2 ??
5x x
Need help setting this problem up. 
I have no idea what kind of equation you set up here!



3 TIMES FASTER is actually 4 times Carlos' speed but it's the norm, in today's math questions setup, that

3 TIMES FASTER means 3 TIMES AS FAST. Ridiculous!!



Let Carlos’ speed be S

Assuming this to actually mean, 3 TIMES AS FAST, we get Manuel’s speed as: 3S, and the following TIME equation: 

63 = 21 + 6S -------- Multiplying by LCD, 3S

63 – 21 = 6S

42 = 6S

S, or Carlos’ speed = , or 

I just realized I went too far and should've stopped at:  

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