A,B and C can do a piece of work in 15,12 and 20 days respectively. they started the work together, but C left after 2 days. in how many days will the remaining work be completed by A and B ?
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work done by a in one day.=1/15
work done by B in 1 day=1/12
work done by c in 1 day=1/20
suppose the work done by x day then A and b work in x day and C is x-2 day
x/15+x/12+x-2/20=1
×/15+×/12+×/20+2/20=1
×/15+×/12+×/20-1/10=1
4×+5×+3×/60-1/10=1
12×/60-1/10=1
×/5-1/10=1
2×-1/10=1
2×-1=1×10
2×=10+1
×=11/2
×=2.5
then and b work completed on 3 days
work done by B in 1 day=1/12
work done by c in 1 day=1/20
suppose the work done by x day then A and b work in x day and C is x-2 day
x/15+x/12+x-2/20=1
×/15+×/12+×/20+2/20=1
×/15+×/12+×/20-1/10=1
4×+5×+3×/60-1/10=1
12×/60-1/10=1
×/5-1/10=1
2×-1/10=1
2×-1=1×10
2×=10+1
×=11/2
×=2.5
then and b work completed on 3 days
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