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 4 of 6.

Mallikarjun Reddy said:   7 years ago
The tap can fill half the tank in 3 hours i.e, in 180 min,
Then 4 taps can fill half the tank in 180/4 = 45 min,
Total: 3 hours 45 min.
(1)

GAGAn said:   5 years ago
It is assumed that all the taps are equally efficient, so we have divided 3 hrs, i.e 180 min into 4 equal part, that how 45 min came.
(11)

Tushar Pawar said:   3 years ago
They asked total time, so half tank is filled in 3 hour and later it takes 45 min as we calculated. Therefore 3 hour and 45 min.
(3)

Teja said:   4 years ago
Time taken by 1tap to fill the tank is 6hrs, then half is 3hrs (work done by 1 tap).
So,
3 * (1/6) + x * (4/6) = 1,
x = 3/4.
(5)

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.

Lekha said:   1 decade ago
a,b,c,d=pipes 6 hrs time
a is taken=3 hrs time
a+a+b+c=3hrs each one taken 45 min
final 3hrs+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.

Aamir said:   1 decade ago
How you write 45min lekha please can you explain me the logic, Im not getting it.

Shashank said:   1 decade ago
45 min are calculated as 3/4*60 = 3*15 = 45 min.

i:e 3/4 of 60 min(1 hr).

Animesh said:   1 decade ago
@MANASA

How can you write [3/2]/[1/2]= 3/4 ?
Its 3 not 3/4.


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