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  1. 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?
    1. 14
      2
      days
      7
    2. 33
      1
      days
      3
    3. 18
      3
      days
      4
    4. 10 days
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

=
1
25 × 16

∴ 4 men one day’s work
=
4
=
1
25 × 16100

Similarly,
1 woman one day’s work
=
1
25 × 20

∴ 5 women one day’s work
=
5
=
1
25 × 20100

∴ 28 men
=
28
× 5 = 35 women
4

[28 men + 15 women]
∴ 50 women one day’s work
=
50
=
1
25 × 2010

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 =
a(A × B)
A1B1 + B1A

=
25(16 × 20)
28 × 20 + 15 × 16

=
25 × 320
560 + 240

=
25 × 320
= 10 days
800



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