45 people can repair a road in 10 days, working 6 hours a day. In how many days can 30 people, working 6 hours a day, complete the same work?

15

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 in the values,

⇒ 45 x 10 x 6 = 30 x \( { D}_{2 } \) x 6

⇒ \( { D}_{2 } \) = 15 days.