Aptitude - Chain Rule - Discussion

Discussion Forum : Chain Rule - General Questions (Q.No. 1)
1.
3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
9
10
11
12
Answer: Option
Explanation:

Let the required number of working hours per day be x.

More pumps, Less working hours per day (Indirect Proportion)

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

Pumps 4 : 3 :: 8 : x
Days 1 : 2

4 x 1 x x = 3 x 2 x 8

x = (3 x 2 x 8)
(4)

x = 12.

Discussion:
69 comments Page 4 of 7.

Smit said:   10 years ago
I can't understand please explain.

Manasi said:   9 years ago
Thanks for solving the problem. It helps always.

Ankit said:   9 years ago
Math master's solution is great.

Haruthra said:   9 years ago
I got the solution by this method.

3 : 16 = 4 : x.
so,
3/4 = x / 16
4x = 64
x = 12.

Therefore, the answer is 12 hours.

Sanskriti said:   8 years ago
Working 8 hours a day, 12 people can do a piece of work in 15 days. How many people will complete the same work in 16 days working 9 hours a day?

Please solve the problem.

Suhani said:   8 years ago
8 hours * 12 people * 15 days = work;
Let, x people will complete the work in 16 days so-
9 hours * x people * 16 days = work,
8 * 12 * 15 = 9 * x * 16,
x = 10 people.

Ganesh said:   1 decade ago
Mehar. Your Explanation is very easy.

Hiscan said:   1 decade ago
@Cauverypithan
Math master is rite....coz 3 pumps will empty in 16hrs....
if they r using one pump,then work load ll increase,then 48hrs is rite....
still not clear...
then c...3 pump ll empty one tank in 16hr...so more the no of pump faster it gets emptied,
lesser the no of pump slower it gets emptied...

Naresh said:   1 decade ago
Thanks mehar.

Cauverypithan said:   1 decade ago
Math master method is wrong if 3 pumps works a day for 16 hour and one pump will 16/3 not 16*3.


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