A, b, and c can do a piece of work in 10, 12, and 15 days respectively. First day a & b works, the second day a & c works then continue up to completion then time taken to complete?

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Jun 19th, 2005
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deeptiaggarwal83
Profile Answers by deeptiaggarwal83

Oct 15th, 2005

22 days

ankit vijay

Mar 27th, 2006

let work be x
work done by a in 1 day x/10
work done by b in 1 day x/12
work done by c in 1 day x/15
work completed by a and b=x/10+x/12=11x/60
work left : x-11x/60=49x/60
let a and c take y days
=>(x/10+x/15)*y=49x/60
y=4.9
Total=5.9 days

nabendu

Jan 9th, 2007

in 1 day A does 1/10
" 1 "     B  "       1/12
" 1 "      C "       1/15
A+B in 1 day = 1/10 +1/12= 11/60,
A+C in 1 day = 1/10+1/15=5/30,
In 2 days work finished = 21/60.
left work = 1-(21/60) = 13/20.
13/20+11/60=1
2+1 =3 days
so 3 days needed