P is twice as efficient as Q. together complete a work in 22 days. Q alone can complete a work in how many days?
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Answer:
let p can complete a task in x days.
then , Q can complete the task in 2x days
implies
p's 1 day work =1/x
Q's 1day work =1/2x
(P+Q) 's 1 day work
= 1/x +1/2x
=2+1/2x
= 3/2x
= 1/2x/3
Pand Q together can complete a task in 2x/3 days
2x/3 =22
x/3=11
x=33
therefore Q alone can do the same work in 66 days
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