SOLUTION: In a walk a thin to raise money for charity Elisa walked a certain distance at 5mph and then jogged twice that distance at 8 mph. her total time walking and jogging was 2 hours and

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Question 233275: In a walk a thin to raise money for charity Elisa walked a certain distance at 5mph and then jogged twice that distance at 8 mph. her total time walking and jogging was 2 hours and 15 minutes. how far did she get?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Elisa walked a certain distance at 5mph and then jogged twice that distance at 8 mph.
Her total time walking and jogging was 2 hours and 15 minutes.
How far did she get?
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Walking DATA:
rate = 5 mph ; distance = x miles ; time = d/r = x/5 hrs.
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Jogging DATA:
rate = 8 mph ; distance = 2x miles ; time = (2x)/8 hrs.
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Equations:
time + time = 2.25 hrs
x/5 + (2x)/8 = 9/4 hrs
Multiply thru by 20 to get:
4x + 5x = 5*9
x = 5 miles
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Total distance: x + 2x = 5+10 = 15 miles
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Cheers,
Stan H.