Question

EXERCISE 9B
. If 48 men can dig a trench in 14 days, how long will 28 men take to dig a similar trench?
16 men can reap a field in 30 days. How many men must be engaged to reap the same field
in 24 days?​

Answer 1

a)48 men can dig a trench in 14 days 1 man can dig a trench in = (14 × 48) days … [less men, more days]

∴ 28 men can dig a similar trench in = (14 × 48)/ 28 = 24 days …

[More men, less days] Hence, the required number of days for 28 men to dig a trench=24

b)16 men can reap a field in 30 days 1 man can reap a field in = (16 × 30) days … [less men, more days]

∴Number of men required to reap a field in 24 days = (16 × 30) / 24 = 20 men … [More men, less days]

Hence, 20 men required to reap a field in 24 days.

your answer is here my comrade