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Chain Rule - General Aptitude

Q1:

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?

A 10

B 13

C 14

D 15

ANS:B - 13

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 :: 12 : x
Working hours/day 6 : 5
 30 x 6 x x = 39 x 5 x 12
 x = (39 x 5 x 12)
(30 x 6)
 x = 13.