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A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?
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- 4 days
- 6 days
- 9 days
- 18 days
Correct Option: A
According to question,
| 10 men’s one day’s work = | 12 |
| ∴ 1 man one day’s work = | = | 12 × 10 | 120 |
Similarly,
| 1 woman one day’s work = | = | 6 × 10 | 60 |
| ∴ (1 man + 1 woman)’s one day’s work = | + | 120 | 60 |
| (1 man + 1 woman)’s one day’s work = | = | = | 120 | 120 | 40 |
| ∴ (10 men + 10 women)’s one day’s work = | = | 40 | 4 |
Therefore, both the teams can finish the whole work in 4 days.
