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:
53 comments Page 3 of 6.
M Ganesh said:
5 years ago
Here we are assuming rate =100
As per the statement,
A
R=100 h=? Capacity =300
=300/100=3.
A+B+C+D =300/400=0.75=45min
=> 3hr +45 min = 3hr 45.
As per the statement,
A
R=100 h=? Capacity =300
=300/100=3.
A+B+C+D =300/400=0.75=45min
=> 3hr +45 min = 3hr 45.
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.
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.
Sajan said:
8 years ago
I think logic behind 2/3 :3::1:x is;
X is the time taken by 4 tap to fill remaining 1/2 in hours.
AND, 2/3 part of tank is filled in 1 hour.
So, (2/3)/(1/2) = 1hr/xhr
Which can b also written as
2/3 : 3 :: 1.
To verify put 45 in place of X and check if the ratio r equal or not(deal in minutes what I mean is that conversation 1hr into 60 minute.
So, 1/x becomes 60/45 that is 4/3. And also, 2/3 : 1/2 is 4/3.
X is the time taken by 4 tap to fill remaining 1/2 in hours.
AND, 2/3 part of tank is filled in 1 hour.
So, (2/3)/(1/2) = 1hr/xhr
Which can b also written as
2/3 : 3 :: 1.
To verify put 45 in place of X and check if the ratio r equal or not(deal in minutes what I mean is that conversation 1hr into 60 minute.
So, 1/x becomes 60/45 that is 4/3. And also, 2/3 : 1/2 is 4/3.
Kajal said:
7 years ago
Simple and nice explanation @Vicky.
Dinusha said:
7 years ago
Thanks @Krishna.
Jay said:
8 years ago
It should be:
2/3 : 1 :: 1/2 : x.
2/3 : 1 :: 1/2 : x.
Sandy said:
8 years ago
It will take less than 24 hours. How?
Doctor said:
1 decade ago
1 tap takes 6 hours.
2 taps will take 3 hours.
Similarly 4 taps will take one and half hour i.e. 90 minutes to completely fill the tank.
Therefore, for half part it will take 45 minutes.
First tap will take 3 hours to half fill the tank.
Hence, we get 3 hours 45 minutes as answer.
2 taps will take 3 hours.
Similarly 4 taps will take one and half hour i.e. 90 minutes to completely fill the tank.
Therefore, for half part it will take 45 minutes.
First tap will take 3 hours to half fill the tank.
Hence, we get 3 hours 45 minutes as answer.
Arun said:
1 decade ago
:: is the sign of proportionality
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