Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 5)
5.
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
Answer: Option
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

30 x 6 x x = 39 x 5 x 12

x = (39 x 5 x 12)
(30 x 6)

x = 13.

Discussion:
32 comments Page 4 of 4.

Nikita said:   6 years ago
Can someone please explain the calculation in detail?
(1)

Aayush said:   4 years ago
To solve, we need to have at least two scenarios.

Scenario1 Scenario 2
39 * 12 * 5 = 30 * X * 6,
2340 = 180 * X,
2340 ÷ 180 = X,
13 = X.
(4)


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