A can do a work in 80 days and B in 100 days,they work together for the first 20 days before B goes away . In how many days will A complete the remaining work
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Let A and B work for 20- days and then A- alone completes the work in N- days, then
(20+N)/80 + 20/100 = 1
So 5(20+N)+ 4(20) = 400
So 5N= (400- 180)= 220
So N= 220/5= 44- days
. Therefore A will finish the remaining unfinished work in 44- days.
========================== Another Simple Method:
Part of the work completed in 20- days
= 20/80+ 20/100= 1/4+ 1/5
= 9/20- part of the work.
Therefore the remaining 11/20- part of the work will be completed by A in = (11/20)÷ (1/80)= 11/20 x 80= 44- days. Ok.
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