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Q.

A & B working together can complete a task 8 days, B & C can do it in 16 Days. A worked at it for 5 days & B worked at it for 15 Days & B worked at it for 6 days C alone finished the remaining work in 16 Days. How many days would C take to complete the same work alone?


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a

24 Days

b

48 Days

c

13 Days

d

29 Days 

answer is B.

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Detailed Solution

Let us assume the total work = x
A and B can complete the work in 8 days
Question ImageB & C can complete the work in 16 days
Question ImageIf A works for 5 days then work done by
Question ImageIf B works for 6 days then work done by
Question ImageIf C works for 16 days then work done by
Question ImageAccording to the condition
5A+6B+16c =x
Question ImageFrom the equation
Question ImageHence, Option (2) is the correct answer.
 
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A & B working together can complete a task 8 days, B & C can do it in 16 Days. A worked at it for 5 days & B worked at it for 15 Days & B worked at it for 6 days C alone finished the remaining work in 16 Days. How many days would C take to complete the same work alone?