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  1. 5 men can do a piece of work in 6 days while 10 women can do it in 5 days. In how many days can 5 women and 3 men do it ?
    1. 4 days
    2. 5 days
    3. 6 days
    4. 8 days
Correct Option: B

5 × 6 men = 10 × 5 women
⇒ 3 men = 5 women
∴ 5 women + 3 men = 6 men
∵ 5 men complete the work in 6 days
∴ 6 men will complete the work in

=
5 × 6
= 5 days
6

Aliter : Using Rule 14,
Here, A = 5, a = 6
B = 10, b = 5
A1 = 3, B1 = 5
Time taken =
1
A1
+
B1
A × aB × b

=
1
3
+
5
5 × 610 × 5

=
1
= 5 days
1
+
1
1010



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