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Question : A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:

Option 1: 16 days

Option 2: 24 days

Option 3: 28 days

Option 4: 29 days


Team Careers360 6th Jan, 2024
Answer (1)
Team Careers360 7th Jan, 2024

Correct Answer: 24 days


Solution : Given:
A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days.
⇒ In 1 day A can do $\frac{1}{18}$th part of the work
⇒ In 12 days A can do ($\frac{1}{18}$ × 12) = $\frac{2}{3}$th part of the work
Now the remaining work is = (1 – $\frac{2}{3}$) = $\frac{1}{3}$ part
So, B finished $\frac{1}{3}$ part of the work in 8 days.
$\therefore$ B alone can do the whole work in (8 ÷ $\frac{1}{3}$) = (8 × 3) = 24 days
Hence, the correct answer is 24 days.

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