SOLUTION: One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the si

Algebra ->  Finance -> SOLUTION: One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the si      Log On


   

Question 485302: One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the sidewalk if they work together?
I need a detailed solution and please if I can get the answer asap
Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One person can shovel the snow from a sidewalk in 2 hours and another person canshovel the same sidewalk in 1.5 hours. How long will it take for them to shovel the snow from the sidewalk if they work together?
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1st Person DATA:
time = 2 hrs/job ; rate = 1/2 job/hr
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2nd Person DATA:
time = 3/2 hrs/job ; rate = 2/3 job/hr
---
Together DATA:
time = x hrs/job ; rate = 1/x job/hr
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Equation:
rate + rate = together rate
1/2 + 2/3 = 1/x
Multiply thru by 6x to get:
3x + 4x = 6
7x = 6
x = 7/6 hr = 1 hr 10 minutes
That is the time for the 2 persons to do the
job working together.
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Cheers,
Stan H.
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