SOLUTION: Will someone please assist me with answering this word problem? Applications Involving Rational Expressions: Carlos can drive 3 times as fast as Pedro can ride his bicycle.

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Question 997994: Will someone please assist me with answering this word problem?
Applications Involving Rational Expressions:
Carlos can drive 3 times as fast as Pedro can ride his bicycle. If it takes Pedro 3 hours longer than Carlos to travel 45 miles, how fast can Pedro ride his bicycle?

Found 2 solutions by mananth, solver91311:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
Pedros speed = x mph
Carlos speed = 3x
Distance = 45 miles
Carlos time = 45/3x
Pedro time 45/x
Condition
Carlos time +3 = Pedro.s time
45/3x + 3= (45/x)
(45/x) - (45/3x) = 3
(135-45)/3x= 3
90 =9x
x= 10
Pedro's speed = 10 mph
Carlo's speed = 30 mph

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let represent Pierre's rate. Then Charles' rate is . Distance equals rate times time, so:

and

Solve the 2X2 system of equations for

John

My calculator said it, I believe it, that settles it