24 men can complete a work in 15 days. How many men are needed to complete the same work in 10 days?

36

Formula to be used here,

\( { M}_{1 } \) x \( { D}_{1 } \) = \( { M}_{2 } \) x \( { D}_{2 } \)

where M = No. of men, D = No. of Days,

⇒ Putting values according to the question, 

⇒ 24 x 15 = \( { M}_{2 } \) x 10

⇒ \( { M}_{2 } \) = 36 men

Therefore, 36 men are needed to complete the work in 10 days.