Aptitude - Pipes and Cistern - Discussion
Discussion Forum : Pipes and Cistern - General Questions (Q.No. 13)
13.
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
Answer: Option
Explanation:
Time taken by one tap to fill half of the tank = 3 hrs.
| Part filled by the four taps in 1 hour = |  |
4 x | 1 |  |
= | 2 | . |
| 6 | 3 |
| Remaining part = | |
1 - | 1 | |
= | 1 | . |
| 2 | 2 |
 |
2 | : | 1 | :: 1 : x |
| 3 | 2 |
 x = |
|
1 | x 1 x | 3 | |
= | 3 | hours i.e., 45 mins. |
| 2 | 2 | 4 |
So, total time taken = 3 hrs. 45 mins.
Discussion:
54 comments Page 3 of 6.
Pramod said:
6 years ago
Simple (3hour/1pipe)+(3hour/4pipe).
(First hf tank)+(sec half tank) = 3(3/4) = in hours then = 3(3*60)/4 = 3hr 45min.
(First hf tank)+(sec half tank) = 3(3/4) = in hours then = 3(3*60)/4 = 3hr 45min.
Elakkiya said:
6 years ago
Thanks @vicky.
Gopi said:
5 years ago
@ Sravanthi :
only one tap fill the half tank. So, the remaining four should fill the remaining half tank.
Hence. 1 - 1/2 = 1/2.
It's should not be 1-2/3.
only one tap fill the half tank. So, the remaining four should fill the remaining half tank.
Hence. 1 - 1/2 = 1/2.
It's should not be 1-2/3.
Sankar said:
6 years ago
One tap can fill the whole cistern in = 6 hr,
And half(1/2)tank can fill in = 3 hr.
Remaining (1/2)tank will filled with the 4 pipes(1+3) = 3hr = 180min,
4 pipes = 180/4 = 45min.
So the final answer is (1half+2nd half) = 3hr + 45min,
3hr and 45min.
And half(1/2)tank can fill in = 3 hr.
Remaining (1/2)tank will filled with the 4 pipes(1+3) = 3hr = 180min,
4 pipes = 180/4 = 45min.
So the final answer is (1half+2nd half) = 3hr + 45min,
3hr and 45min.
Soumen said:
7 years ago
a, b, c, d = 6 hrs.
a=6 * 1/2 = 3 hrs.
then 3 hrs.= 180 minutes.
180/4 = 45 minutes.
3 hrs. 45 minutes.
a=6 * 1/2 = 3 hrs.
then 3 hrs.= 180 minutes.
180/4 = 45 minutes.
3 hrs. 45 minutes.
Suvit said:
9 years ago
The first tank will take 3hrs to fill in half of the tank.
4 tanks will take 6/4=1.5hrs to fill the full tank.
but as half of the tank is already filled, it will take 0.75hr=45mins for the rest half tank.
4 tanks will take 6/4=1.5hrs to fill the full tank.
but as half of the tank is already filled, it will take 0.75hr=45mins for the rest half tank.
Kajal said:
8 years ago
Simple and nice explanation @Vicky.
Dinusha said:
8 years ago
Thanks @Krishna.
Jay said:
8 years ago
It should be:
2/3 : 1 :: 1/2 : x.
2/3 : 1 :: 1/2 : x.
Dee said:
1 decade ago
If 1 tap takes 6 hours --> 2 taps takes 6/2=3 (half time as fill faster).
If 2 taps takes 6/2=3 (half time)---4 taps takes 3/2=1.5 (i.e 1:30 min).
1:30 min= 60 min +30 min= 90 min.
90 min (time taken by 4 tapes to fill full tank).
But left is only half tank.
So 90/2 = 45 min.
Now total time = 3hour+45 min.
If 2 taps takes 6/2=3 (half time)---4 taps takes 3/2=1.5 (i.e 1:30 min).
1:30 min= 60 min +30 min= 90 min.
90 min (time taken by 4 tapes to fill full tank).
But left is only half tank.
So 90/2 = 45 min.
Now total time = 3hour+45 min.
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