ICSE Class 8 Answered
A can do a piece of work in 14 days,while B can do in 21 days .They begin together.But ,3 days before the completion of the work,A leaves off.Find the total number of days taken to complete the work.
Asked by jitendrayadav4778 | 25 Dec, 2018, 01:17: AM
Expert Answer
If A can do the wrok in 14 days, his work per day = 1/14
if B can do the work in 21 days, his work per day = 1/21
if A and B work together, work per day = (1/14)+(1/21) = 5/42
Hence work will be completed, if and B work together = 42/5 = [ 8+(2/5) ] days.
If A leaves 3 days before completion of work, hence they worked together for 5 days.
Hence completed work in 5 days = 5×(5/42) = 25/42
remaining work = 1 - (25/42) = 17/42
Hence no. of days required for B to complete = 
Answered by Thiyagarajan K | 26 Dec, 2018, 07:23: AM
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