SOLUTION: Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the
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-> SOLUTION: Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the
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Question 141977: Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
You can put this solution on YOUR website! Andy and Ben took 4 hours to paint a room together. Andy could paint the same room on his own in 7 hours. How long would it take Ben to paint the same room on his own? ( Leave the answer as a mixed number )
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Together DATA:
time = 4 hrs/job ; rate = 1/4 job/hr
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Andy DATA:
time = 7 hrs/job ; rate = 1/7 job/hr
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Ben DATA:
time = x hrs/job ; rate = 1/x job/hr
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EQUATION:
rate + rate = together rate
1/x+ 1/7 = 1/4
Multiply thru by 28x to get:
28 + 4x = 7x
3x = 28
x = 38/3 = 12 2/3 hrs (time for Ben to do the job alone)
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Cheers,
Stan H.
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