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A alone takes as much time as B and C together take to complete a piece of work. If A and B together take 10 days and B alone takes 50 days to complete it, in what time can A and C together do the work?
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7 1 days 2 -
7 1 days 7 -
8 1 days 7 -
15 1 days 7
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Correct Option: B
| (A + B)’s 1 day’s work = | 10 |
| B’s 1 day’s work = | 50 |
| A’s 1 day’s work = | - | |||
| 10 | 50 |
| = | = | |||
| 50 | 25 |
| (B + C)’s 1 day’s work = | 25 |
| C’s 1 day’s work = | - | |||
| 25 | 50 |
| = | = | |||
| 50 | 50 |
(A + C)’s 1 day’s work
| A’s 1 day’s work = | + | |||
| 25 | 50 |
| = | = | |||
| 50 | 50 |
∴ (A + C) will complete the work in
| = | = 7 | days . | ||
| 7 | 7 |
