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P can do a piece of work in 20 days and Q can do the same piece of work in 60 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 10 days. In how many days will R alone finish the whole work?
  • a)
    10
  • b)
    16
  • c)
    15
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
P can do a piece of work in 20 days and Q can do the same piece of wor...
Work done by P in 1 day = 1/20
Work done by Q in 1 day = 1/60
Work done P and Q in 1 day = 1/20 + 1/60 = 1/15
Work done by P and Q in 5 days = 5 ⨯ 1/15 = 1/3
∴ P and Q finished 1/3rd of the work in 5 days.
R finished 2/3rd of the work in 10 days
2/3 work = 10 days
1 work = 10 × (3/2) = 15 days
∴ R will finish the whole work in 15 days.
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P can do a piece of work in 20 days and Q can do the same piece of work in 60 days. They start working together and work for 5 days and then both leave the work. R alone finishes the remaining work in 10 days. In how many days will R alone finish the whole work?a)10b)16c)15d)20Correct answer is option 'C'. Can you explain this answer?
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