SOLUTION: Rico can drive 2 times as fast as Luis can ride his bicycle. If it takes Luis 2 hours longer than Rico to travel 88 miles, how fast can Luis ride his bicycle?

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Question 994108: Rico can drive 2 times as fast as Luis can ride his bicycle. If it takes Luis 2 hours longer than Rico to travel 88 miles, how fast can Luis ride his bicycle?
Found 3 solutions by josgarithmetic, MathTherapy, addingup:
Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!
RT=D uniform rate equation to relate speed (rate), time, and distance. 
           speed      time     distance
Rico       nr          t        d
Luis        r          t+k      d



Symbolic System To Solve for variables r and t:


More than one way to solve this, but most pleasant may be,...

-






--------this may be the most comfortable formula for r to use, but which form you use for evaluation is your choice.
-
Maybe use as

SUBSTITUTION

r=22
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Rico can drive 2 times as fast as Luis can ride his bicycle. If it takes Luis 2 hours longer than Rico to travel 88 miles, how fast can Luis ride his bicycle?
Let Luis’ speed be S

Then Rico’s speed = 2S

We then get the following time equation: 

176 = 88 + 2(2S) ------- Multiplying by LCD, 2S

176 = 88 + 4S

176 – 88 = 4S

88 = 4S

S, or Luis’ speed = , or  mph 

Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
 R - time for Rico to drive 88 miles

L - time for Luis to bike 88 miles

R can drive 2 times faster, which means he will get to the end in 1/2 the time

Now we have an equation:

R=1/2L

Also, it took Luis 2 hours longer than Rico:

R+2=L

Now, on this last equation let's substitute tha value of R:

1/2L+2= L Subtract 1/2L from both sides

2= 1/2L Now divido both sides by 1/2

4= L, or L= 4 So it takes Luis 4 hours to do the 88 miles. Finally: 

v= d/t= 88/4= 22 miles per hour is Luis' speed  

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