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 3 of 4.

Nagendra kumbar said:   9 years ago
1st section = 39 P *12 D *5H
2nd section =30 P * X D * 6H

Then ,
39 * 12 * 5 = 30 * X * 6,
X = (39 * 12 * 5)/(30 * 6),
X = 13.

Nisha said:   1 decade ago
The sum of infinity of a geometric series is 60. If its first term is 80, find the common ratio? can you give the answers?

Aranya said:   1 decade ago
Persons 30 : 39 :: 12 : x.

Working hours/day 6 : 5.

How did we get the following line?

30 x 6 x x = 39 x 5 x 12.

Suman said:   9 years ago
If 6 man or 8 woman can repair a road in 28 days. How long 8 man and 2 woman will repair it.

Please solve this.

Lavanya said:   7 years ago
There is a formula. Here it is a total person(M) * days(D) * hours(H):
M1 * D1 * H1=M2 * D2 * H2.
(4)

Lokesh said:   6 years ago
30 x 12 x 5 = 2340.
30 x days x 6 = 2340 (because work is same),
180xdays = 2340,
Days = 13.
(1)

Nilesh Tripathi said:   9 years ago
@Pratswinz.

You explained it in the best way. Thanks, it's very helpful.

Buddhika said:   1 decade ago
M1D1H1 = M2D2H2

39*12*5 = 30*D*6.
2340 = 180d.
13 = d.

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

Appu said:   9 years ago
39*12*5 = 2340.

30*x*6 = 2340.

x = 2340/180 = 13.
(1)


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