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If 16 men or 20 women can do a piece of work in 25 days. In what time will 28 men and 15 women do it?
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14 2 days 7 -
33 1 days 3 -
18 3 days 4 - 10 days
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Correct Option: D
16 men = 20 women 4 men = 5 women.
Now, according to question,
16 men complete the work in 25 days.
∴ 1 man one day’s work
= | 25 × 16 |
∴ 4 men one day’s work
= | = | |||
25 × 16 | 100 |
Similarly,
1 woman one day’s work
= | 25 × 20 |
∴ 5 women one day’s work
= | = | |||
25 × 20 | 100 |
∴ 28 men
= | × 5 = 35 women | 4 |
[28 men + 15 women]
∴ 50 women one day’s work
= | = | |||
25 × 20 | 10 |
Therefore, 28 men and 15 women can complete the whole work in 10 days.
Aliter : Using Rule 12,
A = 16, B = 20, a = 25
A1 = 28, B1 = 15
Time taken = | A1B1 + B1A |
= | 28 × 20 + 15 × 16 |
= | 560 + 240 |
= | = 10 days | 800 |