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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 the work, how much time will B alone take to do it ?
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- 40 days
- 45 days
- 50 days
- 30 days
Correct Option: D
Let the time taken by B in doing the work alone = x days
According to the question,
Time taken by A
| = 2 × | = | days | ||
| 4 | 2 |
| ∴ | + | = | ||||
| x | 18 | |||||
| 2 |
| ⇒ | + | = | ||||
| x | 3x | 18 |
| ⇒ | = | |||
| 3x | 18 |
⇒ 3x = 18 × 5
| ⇒ x = | = 30 days | 3 |
