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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?

10
13
14
15

Correct Answer: 13

Explanation:

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	]	:: 12 : x

∴ 30 x 6 x x = 39 x 5 x 12

⟹ x =	(39 x 5 x 12)
	(30 x 6)

⟹ x = 13.

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