SOLUTION: you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?

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Question 235950: you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?
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She'll be 12 miles ahead when you start.
You gain on her at 3 mph (15-12).
12/3 = 4 hours

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
you can ride a bicycle 15 mph. your sister rides 12 mph. you give her a one hour head start. in how many hours will you catch up if neither of you stops?
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Your DATA:
rate = 15 mph ; distance = x miles ; time = d/r = x/15 hrs.
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Sister's DATA:
rate = 12 mph ; distance = x miles ; time = d/r = x/12
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Equation:
her time - your time = 1 hr
x/12 - x/15 = 1
Multiply thru by 60 to get:
5x - 4x = 60
x = 60 miles
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Your time to catch up: x/15 = 60/15 = 4 hrs
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Cheers,
Stan H.