6. P does a piece of work alone in 3 days.
P and Q together do the work in 2 days.
How many days will take to do the
work alone?
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Class 11
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>>Numerical Applications
>>Time and work
>>P alone can complete a work in 12 days w
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P alone can complete a work in 12 days while P and Q together can complete the same work in 8 days. Find the number of days that Q will take to complete the work alone?
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Correct option is B)
Work done by P per day =
12
W
Let Work done by Q per day =
d
q
W
where d
q
is Number of days taken by Q to complete Work Alone
P and Q can together do the Work per day =
8
W
Now, using the Given Information
⇒
12
W
+
d
q
W
=
8
W
⇒
12
1
+
d
q
1
=
8
1
Solving Further we get
⇒d
q
=24
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