SOLUTION: Applications of proportions. Gus works twice as fast as sid. Together they can dig a garden in 4 hr. How long would it takes each person working alone.

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Question 514510: Applications of proportions.
Gus works twice as fast as sid. Together they can dig a garden in 4 hr. How long would it takes each person working alone.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Gus works twice as fast as sid. Together they can dig a garden in 4 hr. How long would it takes each person working alone.
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Sid time = 2x hr/job ; rate = 1/(2x) job/hr
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Gus time = x hr/job ; rate = 1/x job/hr
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Together time = 4 hr/job ; rate = 1/4 job/hr
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Equation:
rate + rate = together rate
1/(2x) + 1/x = 1/4
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Multiply thru by 4x to get:
2 + 4 = x
x = 6 hrs (time for Gus to do the job)
2x = 12 hrs (time for Sid to do the job)
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Cheers,
Stan H.
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