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A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is
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- 100
- 96
- 95
- 90
Correct Option: B
Let Time taken by B and C = k days
∴ Time taken by A = 3k days
| ∴ Part of work done by A, B and C in 1 day = | + | = | = | k | 3k | 3k | 3k |
| ∴ | = | ⇒ 3k = 4 × 24 | 3k | 24 |
| ⇒ k = | = 32 days | |
| 3 |
∴ Time taken by A = 32 × 3 = 96 days
