SOLUTION: It takes 175 seconds for Sarah to walk from her house to the store and back. Going there she walks at 3 ft/sec and on the way back at 4 ft/sec. How long did it take her to walk t
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Question 103623: It takes 175 seconds for Sarah to walk from her house to the store and back. Going there she walks at 3 ft/sec and on the way back at 4 ft/sec. How long did it take her to walk to the store?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
It takes 175 seconds for Sarah to walk from her house to the store and back. Going there she walks at 3 ft/sec and on the way back at 4 ft/sec. How long did it take her to walk to the store?
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Sara to store DATA:
Rate = 3 ft/sec ; distance = x ft ; time = x/3 seconds
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Sara from store DATA:
Rate = 4 ft/sec ; distance = x ft ; time = x/4 seconds
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EQUATION:
time to + time from = 175
x/3 + x/4 = 175
Multiply thru by 12 to get rid of the denominators:
4x + 3x = 12*175
7x = 12*175
x = 300 ft (distance to the store)
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x/3 = 100 seconds (time to get to the store)
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Cheers,
Stan H.
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