Aptitude - Pipes and Cistern - Discussion

Discussion Forum : Pipes and Cistern - General Questions (Q.No. 1)
1.
Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes, and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P,Q and R respectively. What is the proportion of the solution R in the liquid in the tank after 3 minutes?
5
11
6
11
7
11
8
11
Answer: Option
Explanation:

Part filled by (A + B + C) in 3 minutes = 3 1 + 1 + 1 = 3 x 11 = 11 .
30 20 10 60 20

Part filled by C in 3 minutes = 3 .
10

Required ratio = 3 x 20 = 6 .
10 11 11

Discussion:
72 comments Page 2 of 8.

KS said:   1 year ago
Lcm = 60.
It means the total tank capacity is 60 liters.
A done in one min = 60/30= 2lit,
B done in one min = 60/ 20= 3 lit,
C done in one min = 60/ 10 = 6 lit,
So, Total lit in one minute = 11 lit,
So, Total lit in three mints = 11 * 3 = 33 lit,
C done in three min = 6 * 3 = 18.
C' share is after three minutes = 18/33 = 6/11 ans.
(42)

Soumitra Malo said:   2 years ago
Lcm = 60.
It means the total tank capacity is 60 lit.
A done in one min = 60/30= 2lit,
B done in one min = 60/ 20= 3 lit,
C done in one min = 60/ 10 = 6 lit,
So, Total lit in one min = 11 lit,
So, Total lit in three mints = 11 * 3 = 33 lit,
C done in three min = 6 * 3 = 18.
C' share is after three minutes = 18/33 = 6/11 ans.
(72)

Subu said:   3 years ago
Lcm = 60 .it means total tank capacity is 60 lit.
A done in one min = 60/30= 2lit,
B done in one min = 60/ 20= 3 lit,
C done in one min = 60/ 10 = 6 lit,
So Total lit in one min = 11 lit,
So Total lit in three mints = 11 * 3 = 33 lit,
C done in three min = 6 * 3 = 18.
C' share is after three mints = 18/33 = 6/11 ans.
(75)

Mruthyunjaya bm said:   5 years ago
Filled by C in 3 minutes = 3/10.
Filled by (A + B + C) in 3 minutes = 3 ( 1/30+ 1/20 +1/10)= 3*11/60 = 11/20.
As they told A B C proportional to P Q R (R=C).
Required ratio = chemical solution R in tank/ total chemical solution in tank.
i.e. (3/10)/(11/20),
=(3/10)*(20/11),
= (3*20)/(10*11),
= 60/110,
= 6/11.
(8)

Shailesh Vishwakarma said:   7 years ago
A = 30min fill 100%.
B = 20min fill 100%.
C = 10min fill 100%.

if 3 min filling done all together then,
A =3min fill 10%,
B =3min fill 15%,
C =3min fill 30%.

P =10%,
Q = 15%,
R = 30%.

Total = 55% total tank filled.

Proportion of soln R in total liquid,
=R/Total,
=30/55,
=6/11.
(1)

K ravikumar said:   8 years ago
A pipe can fill 10% in three minutes that is 100÷3 * 100=10% b can fill 15% in three minutes 100/20=5.

5*3minutes =15%.
Similarly, C can fill in three minutes 30% so in three minutes entire work is 55% so C proportion is30÷55 = 6÷11.
(1)

Ajay said:   1 decade ago
Part filled by C in 3 minutes = 3/10
Part filled by (A + B + C) in 3 minutes = 3 ( 1/30+ 1/20 +1/10)= 3*11/60 = 11/20


Required ratio = chemical soluttion R in tank/ total chemical solution in tank
i.e. 3/10/11/20

= 3*20/10*11
= 60/110
= 6/11

Niranjan kumar said:   1 decade ago
A - 30 min.
B - 20 min.
C - 10 min.
Now take LCM (30,20,10) = 60.

So,
A - 60/30 = 2 LTR.
B - 3LTR.
C - 6 LTR.

So TOTAL 2+3+6 = 11 LTR.
So proportion of C is 6/11.

So Simple.

Anand said:   10 years ago
Percentage filled by A in 3 minute = 100x3/30.....1.

Percentage filled by B in 3 minute = 100x3/20.....2.

Percentage filled by C in 3 minute = 100x3/10.....3.

= 3/(1+2).

Sashank singh said:   1 decade ago
A, B and C can fill a tank in 6 hrs. After 2 hrs C is stopped. Then A and B together fill the tank in 7 hrs.

How much C will take individully take to fill the tank?


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