A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?
Choose the most appropriate option.
A) 52/7  B) 8  C) 14/2  D) 6  E) 43/6
(A+B) work in 2 days=[1/7+1/8]=15/56   (A+B) work in 6 days=45/56   now,the turn of A,work of A in 1 day=1/7.   till now completed work=[45/56+1/7]=53/56, remaining work=[1-53/56]=3/56   now,turn of B,1/8 work B do in 1 day   so,3/56 part of work B do=[8*3/56]=3/7 days   total time taken=6+1+3/7=52/7 days   answer 52/7
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A and B can finish a work in 7 days and 8 days respectively.if both do work one day and leave one day.and A start the work then in how much days work will finish?