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:
75 comments Page 4 of 8.

Prabhas said:   8 years ago
3/10*20/11=6/11?

Plz explain.

MrunalMehta said:   8 years ago
@Mohsin & @Prabhas.


The part filled by C in 3 mins is 3/10 and part filled by all three combined together is 11/20. To find the proportion of solution are we have to divide 3/10 by 11/20, thus multiplied by 20/11*.

If we divide a number say 25 by 5 we have 2 options.

I) 25/5 i.e- 5 or.
II) 25 x INVERSE OF 5 (I. E- 1/5) = 25x 1/5.
Both are one and the same. Hope this clears.

Bibhuti Bhusan Swain said:   7 years ago
@Lalli.

When 1/30+1/20+1/10 add up they give 11/60.

Anitha said:   7 years ago
C spend max time 10 minutes.
So, 3/10 minutes.
(3/10)*(20/11).
6/11.

Amit ravanak said:   7 years ago
How 6/11?

Please explain in detail.

Guruprasad R said:   7 years ago
How 11/60? please explain.

Rohit said:   6 years ago
LCM of 20,30 and 60 are but ratio 3,2 and 1 and their lcm is 6 which is diveded as by 2,3,6 respectively. Now sum is 11 and after 3 minutes q {3} 3+3 =6 /11

Abey said:   6 years ago
How 3/10? Please explain.

Deepanshu Sharma said:   5 years ago
@Satya.

Initially, we calculate as per pipe and for total, we need to do reciprocal.

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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