A can do a piece of work in 30 days . he works at it for 5 days and then b finish it in 20 days in what time a and b togehter do it
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a will do his work In one day =1\30
work done by a in 5 days=5×1/30=1/6
work done by b in one day=1/20
remaining work which b has to do=5/6
work done by b in 5/6 days =5/6×1/20=1/24
work done by both of them=1/30+1/24=9 /120=3\40
so they will do the work in 13 days
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