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 3 of 7.

Vishal said:   1 decade ago
3 pumb work in 2 days = 16 hours for empty the tank
1 pump work in 2 days = 16*3 = 48 hours for empty the tank
so 4 pump ...........= (16*3)/4 = 12..
(1)

Naveen moorthy said:   1 decade ago
As tank are Same.

So 3x8=24 hours required for 1 day for that tank.

So hrs will be same.

For 4 tanks, 4x6=24 for 2 days.

If it 1 day, 6x2=12 hours.

Deepesh pathariya said:   1 year ago
3 pumps 8 hours a day empty a tank in 2 days.
Hence 1 pump can empty the tank = 3 * 8 * 2 hours.
= 48 hours.
4 pump can empty the tank = 48/4.
= 12.
(37)

Uttam said:   1 decade ago
@ Math Master

Your approach is good, but it dint use the case that pumps should empty the tank within 1 day, is it doesn't make any difference?

Umesh said:   1 decade ago
Total work (Time to empty the tank by one pump) = 3(pumps)* 8(hours)*2(days)
= 42hours

When 4 pumps are using it will take 42/4= 12 hours

Mehar said:   1 decade ago
D P H
2 3 8 ==> Fill the tank
1 4 x ==> Have to do empty same tank ,
so work is same then
2*3*8=1*4*x => x=12.

Babar said:   9 years ago
3 pumps working 8 hours.
So total hours = 3 * 8 = 24 * 2 = 48 to fill.
So can empty 48/4 = 12 hours.
Then, the answer = 12.
(2)

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.

Hari said:   1 decade ago
Yes it's very easy to understand solved by Mathmaster. ThanQ.

I can't understand your question Mr. Akhilesh sahu.

Sobuz said:   1 decade ago
At First we find the Total_hour to finish the work, that is:

3*8*2 = 48.

So, 4*X*1 = 48.

X = 48/4 = 12.


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