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A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do the work in
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- 15 days
- 20 days
- 25 days
- 30 days
Correct Option: C
A’s 1 day’s work = (B +C)’s 1 day’s work ...(i)
| (A + B)’s 1 day’s work = | 10 |
| C’s 1 day’s work = | 50 |
(A + B + C)’s 1 day’s work
| = | + | = | = | ...............(iii) | ||||
| 10 | 50 | 50 | 25 |
| (A + A)’s 1 day’s work = | 25 |
(By (i) & (iii)
| A’s 1 day’s work = | 50 |
B’s 1 day’s work
| = | - | |||
| 10 | 50 |
| = | = | = | ||||
| 50 | 50 | 25 |
Hence, B alone will complete the work in 25 days.
