x can do a piece of work in 40 days.he works at it for 8 days and then y finished in it 16 days.how long Will they together take to complete the work?
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Answer:
X could complete 1/40 of the work in 1 day.
So work completed in 8 days = (1/40)*8=8/40=1/5. Amount of work left = 1–(1/5)=4/5.
So y can complete 4/5 of the work in 16 days.
Which means y can complete the whole work in 16*(5/4)=20 days.
So y can complete 1/20 of the work in 1 day.
Amount of work that will be done in 1 day by both of them
=(1/20)+(1/40)=3/40 of the work.
Number of days taken by them to complete the work =
40/3=13 and 1/3 days
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