SOLUTION: A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same field in 6days by using a smaller tractor. How many days will be required for the plowing i

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Question 748100: A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same field in 6days by using a smaller tractor. How many days will be required for the plowing if they work together?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A farmer can plow a field in 4 days by using a tractor. His hired hand can plow the same field in 6days by using a smaller tractor. How many days will be required for the plowing if they work together?
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Farmer DATA:
time = 4 days/job ; rate = 1/4 job/day
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Hired DATA:
time = 6 days/job ; rate = 1/6 job/day
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Together DATA:
time = x days/job ; rate = 1/x job/day
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Equation:
rate + rate = together rate
1/4 + 1/6 = 1/x
6x + 4x = 24
10x = 24
x = 2.4 hours (time to do the job together)
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Cheers,
Stan H.