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?
3 hrs 15 min
3 hrs 45 min
4 hrs
4 hrs 15 min
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.

Amar said:   1 decade ago
1. Time taken by a pipe to fill half the tank = 3 hrs.

2. So, time taken by 1st pipe along with 3 other similar pipes (i.e 4 pipes).

= 3 hrs/4.

= 180 min/4.

= 45 min.

Adding 1 and 2,

Total time taken = 3hr 45 min.

Suvit said:   8 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.

Sravanthi said:   2 decades ago
Time taken by 1 tap to fill half of the tank is =3hrs.
part filled by 4 taps in 1 hr=4*1/6=2/3.
then remaining part= 1-2/3=1/3 how is it 1/2 can anybody please tell
and what this ::symbol mean

Aadarsh kumar said:   5 years ago
As we know, rate * time =capacity.

So, after half filled.
A*3=4A *t
t=3/4 hour.
So total time taken is the time taken by A to fill half i.e 3 hr + 3/4 hr = 3 hr 45 minutes.
Thanks.
(3)

Sapna Singh Lodhi said:   7 months ago
The half tank filled in 3 hours since the full took 6 hours.
So, the rest half will be filled by 4 tap = 3 * 60/4 = 45.
Complete time to fill the tank = 3 hours 45 min.
(2)

Anomie said:   5 years ago
Tank filled in 1hr =6units.
For half an hour =3units.
Remaining 3units.
Now 3 more taps.....+previous 1 tap =4taps.
Efficiency =3/4.
Total =3*3/4(60)=3hr 45min.

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.

Faysal said:   6 years ago
Quick one:
1 pipe fills half of the tank=6/=3 hrs.

Remaining half,
1 pipe takes 3 hr.
4 '' '' =3/4 hr= 45 mins.
Total = 3hrs+45mins(Answer)
(2)

Aparna said:   1 decade ago
2/3:1/2::1:x.

X = (1/2*1*3/2) = 3/4.

I did not got these two steps shall you explain me please in this step what is X why we should take the ratio.

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.


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