SOLUTION: luis can drive 3 times as fast as carlos can ride his bicycle. if it takes carlos 2 hours longer than luis to travel 51 miles, how fast can carlos ride his bicycle.

Question 934248: luis can drive 3 times as fast as carlos can ride his bicycle. if it takes carlos 2 hours longer than luis to travel 51 miles, how fast can carlos ride his bicycle.
Answer by ptfile(81) (Show Source): You can put this solution on YOUR website!
Let 3r= Luis's rate
r= Carlos's rate
t+2= Duration of Carlos traveled
t= Duration of Luis traveled
51mi= Total distance
Luis can drive 3 times as fast as Carlos can ride his bicycle. if it takes Carlos 2 hours longer than Luis to travel 51 miles
Distance = (rate)(time)
51=(3r)(t)
51=3rt
17=rt
17/r=t
51=(r)(t+2)
51=rt+2r
51-2r=rt
51-2r/r=t
17/r=51-2r/r
17=51-2r
2r=34
r=17
Carlos's speed is 17mph.

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