P alone can complete a work in 8 days and Q alone in 6 days. P and Q with the help of R completed the
work in 3 days. In how many days can R alone do the work?
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Answer: R alone can do work in 24 days
Step-by-step explanation:
Time required by P = 8 days
Work completed in 1 day = 1/8
Time required by Q = 6 days
Work completed in 1 day = 1/6
Let the time required by R be x
Work completed in 1 day = 1/x
Days required totally = 3 days
Work completed each day = 1/3
1/8 + 1/6 + 1/x = 1/3
(6x + 8x + 48)/48x = 1/3
14x + 48 = 16x
16x - 14x = 48
2x = 48
x = 24
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