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A does half as much work as B in three- fourth of the time. If together they take 18 days to complete a work, how much time shall B take to do it alone?
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- 30 days
- 35 days
- 40 days
- 45 days
Correct Option: A
Using basics of Rule 2,
Let B completes the work in x days
| ∴ Work done by A in | days | 4 |
| = | 2 |
⇒ Time taken by A in completing the work
| = 2 × | = | days | ||
| 4 | 2 |
∴ (A + B)’s 1 day’s work
| = | + | = | = | |||||
| x | 3x | 3x | 3x |
| ∴ | = | ⇒ 3x = 90 | ||
| 3x | 18 |
⇒ x = 30
Hence, time taken by B in completing the work = 30 days
