SOLUTION: Me.sheen rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate of the bicycle was 4 times his rate on foot. He spent 5 hours on the entire tri
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Question 820558: Me.sheen rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate of the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find his rate of walking. Found 2 solutions by stanbon, josmiceli:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Me.sheen rode a distance of 12miles out into the country on a bicycle and returned on foot. His rate of the bicycle was 4 times his rate on foot. He spent 5 hours on the entire trip. Find his rate of walking.
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Out DATA:
distance = 12 miles ; rate = x mph ; time = d/r = 12/x hrs
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Back DATA:
distance = 12 miles ; rate = 4x mph ; time = d/r = 12/4x hrs
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Equation:
time + time = 5 hours
12/x + 12/4x = 5
4*12 + 12 = 20x
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20x = 60
x = 3 mph (walking rate)
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Cheers,
Stan H.
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You can put this solution on YOUR website! Let = his rate on foot = his rate on a bicycle
Let = his time in hours on foot
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Equation for walking:
(1)
Equation for biking:
(2)
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(1)
and
(2)
Substitute (1) into (2)
(2)
(2)
(2)
(2)
His rate of walking was 3 mi/hr
check:
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
OK
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