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?
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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.

Shaunak said:   1 decade ago
It's simple direct and inverse ratio theory. You can apply unitary method,but that'll take a hell lot of time.

Rajeev Guda said:   1 decade ago
3*8 = 24 hours in 2 day i.e., 12 hours a day with 3 pumps.

How can it be 12 hours with 4 pumps?

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.

Raja said:   1 decade ago
@maher. I am just asking where is the concept of chain rule (indirect propprtion) approach.

Vivek said:   1 decade ago
One pump requires 16 *3 = 48 hrs to empty the tank.

4 pump requires 48/4 = 12 hrs.

Guri said:   1 decade ago
I didn't get how you have solved it. Can you explain me this all step by step?

Lakshmi said:   1 decade ago
3 pumps -> 8h -> 2 days.

4 pumps -> ? -> 1 day.

3*8*2/4*1 = 12.

Shubhank said:   1 decade ago
Can anyone just explain the chain rule with direct and indirect proportion?

Hanumanth said:   1 decade ago
pumps*days*hours=pumps*days*hours.

4*1*x=3*8*2.

x=12.

That's simple

Akojenu Felix said:   8 years ago
Maths Master Really Explained It Well. I Need More Of Your Teaching.
(1)


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