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Answer to Q128

Raul can do a piece of work in 20 days and Kate in 25 days. They work together for 5 days and then Kate leaves. In how many more days would Raul finish the work?

Raul can do a piece of work in 20 days
So, this means Raul works at the rate of = 1 ÷ 20 = 0.05 per day (equivalent of 5% per day)

and Kate in 25 days
and Kate works at the rate of = 1 ÷ 25 = 0.04 per day (equivalent of 4% per day)

They work together for 5 days and then Kate leaves
The percentage of work completed in that 5 days is (5% * 5) + (4% * 5) = 45% (or 0.45)

Remaining work = 100% - 45% = 55%

So, Raul does 5% of work per day and has 55% of work to complete, that will take him: 55% ÷ 5% = 11 days to complete

Answer: 11 days

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582 viewsFeb 15, 2021 at 12:01

Answer to Q128

Raul can do a piece of work in 20 days and Kate in 25 days. They work together for 5 days and then Kate leaves. In how many more days would Raul finish the work?

Raul can do a piece of work in 20 days
So, this means Raul works at the rate of = 1 ÷ 20 = 0.05 per day (equivalent of 5% per day)

and Kate in 25 days
and Kate works at the rate of = 1 ÷ 25 = 0.04 per day (equivalent of 4% per day)

They work together for 5 days and then Kate leaves
The percentage of work completed in that 5 days is (5% * 5) + (4% * 5) = 45% (or 0.45)

Remaining work = 100% - 45% = 55%

So, Raul does 5% of work per day and has 55% of work to complete, that will take him: 55% ÷ 5% = 11 days to complete

Answer: 11 days

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