Latest Others Aptitude Question SOLUTION: P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day? O

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(#M40152015) OTHERS Numerical Ability question Quantitative Aptitude Keep an EYE

P, Q and R can do a work in 20, 30 and 60 days respectively. How many days does it need to complete the work if P does the work and he is assisted by Q and R on every third day?

Options
1) 10 days
2) 14 days
3) 15 days
4) 9 days

Asked In Others Arjun (8 years ago)

Unsolved Read Solution (3)

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Read Solution (3) :

Devendra Marghade  (8 years ago)

3) 15 days

In three days work completed=3*(1/20)+(1/30)+(1/60)=1/5
So the work will be completed in 3/(1/5)=15 days

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ADERU CHENCHU NITHISH  (8 years ago)

in one day p can finish (1/20)th part of work . in one day q can finish (1/30)th part of work
in one day r can finish (1/60)th part of work
so in two days p can finish (1/10)th part of work
and in 3rd day both q and r will involve so work done on third day is (1/20)+(1/30)+(1/60)=(1/10)th
assume 1 cycle = 3 days. for 1 cycle work done is (1/10)+(1/10)=(1/5)th
so for 5 cycles total work will be completed
Total work completed in 5 cycles=5*3 days=15 days (ans-15 days) option no.3

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Gaurav Singh  (8 years ago)

work done by P in 1 day= 100/20= 5%
work done by Q in 1 day= 100/30= 3.333%
work done by R in 1 day= 100/60= 1.666%

Now P is assisted by Q & R on every 3rd day
so work completed on every 3rd day= 3*5 + 3.33+1.66 =20%
the
Now 20% work is completed in 3 days
then 100% work wil be completed in (100/20) * 3= 15 days

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