Question

30)A can do a piece of work in 12days while can do it in
18 days. They start together and after 3 days, A leaves
and his place is taken by C. B and C work together for 3
days more when B also leaves. The rest of the work is 14
completed by C alone in 12 more days. In how many days
can c alone do the entire work
​

Answer 1

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$\bold{Explanation:}$

A and B complete 1/12 and 1/18 of work respectively in 1 day.

They complete (1/12 + 1/18) or 5/36 of work together in 1 day.

Working together for 2 days, they complete 2 × 5/36 or 5/18 of work.

After A leaves, B is left with 1-5/18 or 13/18 of work.

As B completes 1 work in 18 days, he'll take 13/18 × 18 or 13 days to complete remaining 13/18 work.

Ans: 13.

Answer 2

$\huge\underbrace\mathfrak \red{ANSWER }$

A and B complete 1/12 and 1/18 of work respectively in 1 day.

They complete (1/12 + 1/18) or 5/36 of work together in 1 day.

Working together for 2 days, they complete 2 × 5/36 or 5/18 of work.

After A leaves, B is left with 1-5/18 or 13/18 of work.

As B completes 1 work in 18 days, he'll take 13/18 × 18 or 13 days to complete remaining 13/18 work.

Ans: 13.

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