Latest Wipro Aptitude Question SOLUTION: A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each take to complete the job? a>1/30, 1/20, 1/6

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A and B can do a piece of work in 12 days, B and C can do it in 15 days and C and A can do the same work in 20 days. How long would each take to complete the job?
a>1/30, 1/20, 1/60
b>1/20, 1/30, 1/30
c>1/20, 1/20, 1/20
d>1/60, 1/0, 1/30

Asked In Wipro (12 years ago)

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Sanjana Patnaik  (11 years ago)

(A+B)'s one day work is 1/12
(B+C)'s one day work is 1/15
(C+A)'s one day work is 1/20
Thus,2(A+B+C)'s one day work is 1/12+1/15+1/20=1/5
so,(A+B+C) can complete the work in 10 days.
(A+B+C)'s one day work=1/10
A 's one day work=1/10-1/15=1/30
B's one day work=1/10-1/20=1/20
C's one day work=1/10-1/12=1/60
The answer option shall be a
However, the answer is given in one day's work.
Otherwise the answer would be 30,20 and 60 days.

Is this solution Helpfull? Yes (10) | No (2)  

jagannathan  (11 years ago)

OPTION A>1/30,1/20,1/60
A+B=1/12
B+C=1/15
C+A=1/20
(A+B)+(B+C)+(C+A)=2(A+B+C)=1/12+1/15+1/20
(A+B+C)'s one day work = 12/120=1/10
A'S one day work=(A+B+C)-(B+C)=1/10-1/15=1/30
B'S one day work=(A+B+C)-(C+A)=1/10-1/20=1/20
C'S one day work=(A+B+C)-(A+B)=1/10-1/12=1/60

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