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X can do a piece of work in 24 days. When he had worked for 4 days, Y joined him. If complete work was finished in 16 days, Y can alone finish that work in:
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- 18 days
- 27 days
- 36 days
- 42 days
Correct Option: C
Let Y alone complete the work in x days.
According to the question,
X’s 16 days’ work + Y’s 12 days’ work = 1
⇒ | + | = 1 | ||
24 | x |
⇒ | + | = 1 | ||
3 | x |
⇒ | = 1 - | = | ||||
x | 3 | 3 |
⇒ x = 12 × 3 = 36 days