If a work can be completed by 96 boys or 36 men in 20 days, the number of days required to complete the work by 8 boys and 12 men is
1). 32 days
2). 48 days
3). 36 days
4). 42 days
Work done by a boy in 1 day = $(\frac{1}{{96 \times 20}})$
Work done by a man in 1 day = $(\frac{1}{{36 \times 20}})$
∴ Number of days required to complete the work by 8 boys and 12 men = $(\frac{1}{{\frac{8}{{96 \times 20}} + \frac{{12}}{{36 \times 20}}}} = 48\;days)$