SOLUTION: Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?

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Question 1115132: Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Separation rate is 6 mph.

6%2At=8
Solve.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mary can walk 4 mph and Judy can bike 10 mph. If they start at the same point and travel in the same direction, how long will it take Mary to be 8 miles behind Judy?
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Mary DATA:
rate = 4 mph ; dist = x miles ; time = x/4 hrs
Judy DATA:
rate = 10 mph ; dist = x+8 miles ; time = (x+8)/10 hrs
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Equation:
time = time
x/4 = (x+8)/10
10x = 4x + 32
6x = 32
x = 16/3 miles
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Ans: time = x/4 = (16/3)/4 = 4/3 hr = 1 hr 20 min
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Cheers,
stan H.
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