Working 7 hours a day, 18 persons can complete a certain work in 32 days. In how many days would 14 persons complete the same work, working 8 hours a day?

36

Formula to be used here,

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

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

⇒ Putting values in the formula,

⇒ 18 x 32 x 7 = 14 x \( { D}_{2 } \) x 8

⇒ \( { D}_{2 } \) = 36 days.