Question

A and B working together can complete a piece of work in 12 days. B and C working together can complete the same work in 16 days. A worked at it for 5 days and B worked at it for 7 days. C finished the remaining work in 13 days. How many days would C alone take to complete it

Answer 1

Heya !!

Here's your answer.. ⬇⬇
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➡A an B can together complete work in 12 days.

Work completed by A and B in 1 day = 1/12

➡B and C can together complete work in 16 days.

Work completed by B and C in 1 day = 1/16

Work completed by C alone = x

➡ A worked at it for 5 days and B worked at it for 7 days. C finished the remaining work in 13 days.

A and B both worked for 5 days.
B and C both worked for 2 days.
C works for 11 days.

( work done by A and B ) + ( work done by B and C ) + ( work done by C ) = 1

5/12 + 2/16 + 11x = 1
5/12 + 1/8 + 11x = 1
10+3/24 + 11x = 1
13/24 + 11x = 1
11x = 1/1 - 13/24
11x = 24-13/24
11x = 11/24
x = 11/(24 × 11)
x = 1/24

Work completed by C alone = x
C would alone complete a work in 24 days.
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Hope it helps..
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