Question

Mark (✓) against the correct answer
If 16 men can reap a field in 30 days, in how many days will 20 men reap the same field?

(a) $10\frac{2}{3}$ days
(b) 24 days
(c) 25 days
(d) $37\frac{1}{2}$ days

Answer 1

Number of days taken to reap the field by 16 men = 30 days
Number of days taken to reap the field by 1 man = 30$\times$16 days [Less men, more days]
Number of days taken to reap the field by 20 men = $\frac{30\times 16}{20}$ = 24 days [More men, less days]

Hence, 20 men will take 24 days to reap the field.

The correct option is (b).