One man, 3 women and 4 boys can do a piece of work in 96

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One man, 3 women and 4 boys can do a piece of work in 96 hours, 2 men and 8 boys can do it in 80 hours, 2 men and 3 women can do it in 120 hours. 5 men and 12 boys can do it in

Using Rule 1,
1 hour’s work of 1 man and 4 boys

=	1
	160

[∵ 2 men and 8 boys can do the work in 80 hrs.]
1 hour’s work of 1 man 3 women and 4 boys

=	1
	96

1 hour’s work of 3 women

=	1	-	1	=	10 - 6	=	1
	96		160		960		240

1 hour’s work of 2 men

	1	-	1	=	1
	120		240		240

1 hour’s work of 4 boys

=	1	-	1
	160		480

=	3 - 1	=	1
	480		240

∴ 2 men = 3 women = 4 boys
∴ 2 men + 8 boys = 12 boys
5 men + 12 boys = 22 boys
∴ By M₁D₁ = M₂D₂
⇒ 12 × 80 = 22 × D₂

⇒ D₂ =	12 × 80
	22

=	480	= 43	7	hours
	11		11