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:
76 comments Page 4 of 8.

Kiran said:   1 decade ago
@Lalitha

= 1/30+1/20+1/10
So L.C.M of 30,20,10=60
Then 1/30+1/20+1/10=2+3+6/60
=11/60
ok

Saikat said:   2 years ago
Total 60 unit.

A = 1 minute 2 unit
B =1 min 3 unit
C =1 min 6 unit.

So, Total (6+3+2)=11 unit.
C contribution is 6/11 unit.
(56)

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

Puja ram said:   3 weeks ago
A - 30.
B - 20.
C - 10.
Lcm - 60.
30/60 = 2.
20/60 = 3.
10/60 = 6.
3 * 1/10 = 3/10,
3/10 * 20/11 = 6/11.

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.

Xyz said:   1 decade ago
Please give some simple explanation. Please tell me how to calculate LCM? I forgot it.

Deepanshu Sharma said:   6 years ago
@Satya.

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

Nandeesh said:   4 years ago
3/30 + 3/20 + 3/10.
(6+9+18)/60 = 33/60 = 11/20,
(3/10)/11/20 = (3/10*20/11) = 6/11.
(14)

PRAKASH KUMAR said:   2 decades ago
Is there is any shortcut methods in understanding the pipes and cisterns problems?

Sujohn rayamajhi said:   10 years ago
Why C's filling is counted twice? Once in total and then individually.


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