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Question

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?

10

13

14

15

Accepted Answer

Answer : 13

Let the required number of days be x. Then ,

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

∴ 30 × 6 × x = 39 × 5 × 12
⇒ x = (39 × 5 × 12)/(30 × 6) = 13

Hence, the required number of days is 13.

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