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 1 of 8.

Angel said:   1 decade ago
How 3/10 came ? Please explain it in detail.

PRAKASH KUMAR said:   1 decade ago
Is there is any shortcut methods in understanding the pipes and cisterns problems?

Yukta said:   1 decade ago
R is belongs to C.The ratio of the solution is obtained from dat.

Akshay said:   1 decade ago
@Angle

When c works for 1 min its work done in 1 min = 1/10

so when it works for 3 min its contribution = 3/10

Rakesh k said:   1 decade ago
Is there any shortcuts to find pipes problems?

Dine said:   1 decade ago
They asking after 3 min
so they given as a b c proportional to p q r .
so r is c for 3 min it 3/10.

Lalli said:   1 decade ago
How 3/10*20/11=6/11 came? please explain.

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

Aarti said:   1 decade ago
How 11/60 came? where is this 11 came from ?

Sumanth Gowda said:   1 decade ago
Hey guys listen properly.

A part filled by 3 min
for a=1/30,b=1/20,c=1/20
first u add this tree and multiply by 3 min k then u'l get 11/20
discharge chemical solutions P,Q and R respectively its equal to A,Band C
observe carefully P=A,Q=B,R=C;
proportion of the solution R in the liquid in the tank after 3 minutes where 3min s nothing but 3(C).....3(1/10) ie 3/10

Now u got ans.


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