39 persons can repair a road in 12 days, working 5 hours a day. In how many days

Question

39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?

Options:

A . 10

B . 13

C . 14

D . 15

Answer: Option B

Let the required number of days be x.

Less persons, More days (Indirect Proportion)

More working hours per day, Less days (Indirect Proportion)

Persons
30
:
39

39 Persons Can Repair A Road In 12 Days, Working 5 Hours A D...

:: 12 : x
Working hours/day
6
:
5

30 x 6 x x = 39 x 5 x 12

x = \(\frac{(39\times5\times12)}{(30\times6)}\)

x =13.

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