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A takes twice as much time as B and thrice as much as C to complete a piece of work. They together complete the work in 1 day. In what time, will A alone complete the work.
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- 9 days
- 5 days
- 6 days
- 4 days
Correct Option: C
Let time taken by C to complete the work = x days
∴ Time taken by A to complete the work = 3x days
and time taken by B to complete the work
| = | days | 2 |
According to the question,
| + | + | = 1 | ||||
| 3x | x | |||||
| 2 |
| ⇒ | + | + | = 1 | |||
| 3x | 3x | x |
| ⇒ | = 1 | 3x |
| ⇒ | = 1 ⇒ | = 1 | ||
| 3x | x |
⇒ x = 2
∴ Time taken by A
= 3x = 3 × 2 = 6 days
