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.

Jeyan said:   1 decade ago
Ya. Right. Even I got so!

Why not we say 39 persons did work in (12*5) hours.

Then what would be 30 persons working for (x*6) hours ?

Anila said:   2 decades ago
The equation is 30 x 6 x x = 39 x 5 x 12 not clear to understand.

Please explain it clearly. When I solved this problem I got equation as 39 x 12 x 5 = 30 x x x 6.

How come you got that equation?


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