48 men can dig a trench in 14 days then how many days will be taken by

1.	48 men can dig a trench in 14 days then how many days will be taken by 28 men to dig the same trench ? A) 13 B) 16 C) 24D) 42
Answer» Correct option is (C) 24 Let 28 men will take x days to dig the same trench. Work done by 28 men in x days = Work done to dig the trench = Work done by 48 men in 14 days. \(\therefore\) \(28\times x=48\times14\) \(\Rightarrow\) \(x=\frac{48\times14}{28}=\frac{48}2\) = 24 \(\therefore\) 28 men will dig the same trench in 24 days. Correct option is C) 24

48 men can dig a trench in 14 days then how many days will be taken by 28 men to dig the same trench ? A) 13 B) 16 C) 24D) 42

Answer»

Correct option is (C) 24

Let 28 men will take x days to dig the same trench.

Work done by 28 men in x days = Work done to dig the trench

= Work done by 48 men in 14 days.

\(\therefore\) \(28\times x=48\times14\)

\(\Rightarrow\) \(x=\frac{48\times14}{28}=\frac{48}2\) = 24

\(\therefore\) 28 men will dig the same trench in 24 days.

Correct option is C) 24