Paul and peter can do a piece of work in 60 days, while paul can do it alone in 80 days. how many days will peter take to complete the work alone?
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Paul and peter together can do it in 60 days, 1 day work = 1/60
Paul can do it in 80 days, 1 day work = 1/80
1 day work of peter = 1/60 - 1/80 = (4-3) / 240 = 1 / 240
Peter will take 240 days
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Paul and Peter can do the piece of work in 60 day
⇒ 1 day = 1/60 of the work
Paul can do it alone in 80 days
⇒ 1 day = 1/80 of the work
Find the amount of work Peter can do in a day:
1 day = 1/60 - 1/80 = 1/240
Find the number of days Peter will need to complete the work:
1/240 of the work = 1 day
240/240 of the work = 1 x 240 = 240 days
Answer: Peter can do the work in 240 days alone.
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