it takes 8 , 12 and 16 days for A , B and C to complete to task . how many days will it take if A works on the job for 2 days and then B works on it until 25 % of the job is left for C to do , and C completes the work ?

it takes 8 , 12 and 16 days  for A , B and C to complete to 
task . how many days will it take if A works on the job for 
2 days and then B works on it until 25 % of the job is left 
for C to do , and C completes the work ?

Ques:- it takes 8 , 12 and 16 days for A , B and C to complete to task . how many days will it take if A works on the job for 2 days and then B works on it until 25 % of the job is left for C to do , and C completes the work ?
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3 Answers on this Question

  1. 12 days.
    work done by A in 1 day = 1/8.
    for 2 days its 1/4.
    remaining work is 1-1/4=3/4.
    25 % of work is done atlast be C.
    thrfore it is 1/4.
    work done by B = 3/4-1/4 = 1/2.
    days for B to complete is (1/2) /(1/12) = 6
    days for C to complete 1/4 of the job (1/4) /(1/16) = 4.
    A takes 2 days , B takes 6 days and C takes 4 days.
    total is 12 days.

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