Question

Choose the correct answer from the alternatives given.
2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can finish it in 8 days. Number of days taken by 2 men and I boy to finish it will be

• A. 13$\frac{1}{2}$ days
• B. $13$ days
• C. 12 $\frac{1}{2}$days
• D. $14$ days

Answer 1

The correct option is C 12 $\frac{1}{2}$days

: Let the per day work of man & boy be m & b respectively.
(2m + 3b) $\times$ x l0 = (3m + 2b) $\times$ 8
20m + 30b = 24m + 16b
4m = l4b
2m = 7b
2m + 1b = 7b + 1b = 8b
Let the time taken be t.
8b $\times$ = l0b $\times$ 10
t = $\frac{100}{1}=12.5or12\frac{1}{2}$ days