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neha bairagie

· started a discussion

· 1 Months ago

? (Question: 196631.0 )

My answer is 144/10.

Question:
A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of work. In how many days will the work be completed ?
Options:
A) 20 days 
B) 18 days 
C) 16 days 
D) 15 days
Solution:

Ans(d);

In 4 days A, B, C complete 4*(1/24+1/36+1/48)=13/36 of the work

work left: 23/36

let A work for d-3 days after the 1st 4 days, let B work for d days aftre the 1st 4 days

(d-3)/24+d/36=23/36

=>(60d-108)/36*24=23/36

=>d=11

Total number of days taken: 4 days+ 11 days (after C left)=15 days.

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