SOLUTION: Person A can paint the​ neighbor's house 4 times as fast as Person B. The year A and B worked​ together, it took them 2 days. How long would it take each to paint the &

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Question 1103694: Person A can paint the​ neighbor's house 4 times as fast as Person B. The year A and B worked​ together, it took them 2 days. How long would it take each to paint the ​house?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Person A can paint the​ neighbor's house 4 times as fast as Person B. The year A and B worked​ together, it took them 2 days. How long would it take each to paint the ​house?
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A DATA:
time = x days/job ; rate = 1/x job/day
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B DATA:
time = 4x days/job ; rate = 1/4x job/day
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Together DATA:
time = 2 days/job ; rate = 1/2 jobs/day
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Equation:
rate + rate = together rate
1/x + 1/4x = 1/2
4 + 1 = 2x
x = 2 1/2 days (time for A to do the job alone)
4x = 10 days (time for B to do the job alone)
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Cheers,
Stan H.
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