Aptitude - Pipes and Cistern - Discussion
Discussion Forum : Pipes and Cistern - General Questions (Q.No. 6)
6.
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is:
Answer: Option
Explanation:
| Work done by the waste pipe in 1 minute = | 1 | - |  |
1 | + | 1 |  |
| 15 | 20 | 24 |
| = | |
1 | - | 11 | |
| 15 | 120 |
| = - | 1 | . [-ve sign means emptying] |
| 40 |
 Volume of |
1 | part = 3 gallons. |
| 40 |
Volume of whole = (3 x 40) gallons = 120 gallons.
Discussion:
48 comments Page 3 of 5.
Krish said:
1 decade ago
Let x = no.of minutes to take empty the gallon by leakage.
(1/20+1/24-1/x)=1/15.
x will get = 40 min.
40*3 = 120 gallon.
(1/20+1/24-1/x)=1/15.
x will get = 40 min.
40*3 = 120 gallon.
Dwarikesh Sharma said:
1 decade ago
(1/20)+(1/24)-3G = (1/15).
-3G = (1/15)-(1/20+1/24).
-3G = -3/120.
G = 1/120.
Capacity of Tank G=120 gallon.
-3G = (1/15)-(1/20+1/24).
-3G = -3/120.
G = 1/120.
Capacity of Tank G=120 gallon.
Aniket said:
10 years ago
You can simply take the L.C.M of the values and get the result.
L.C.M of above values = 2x2x2x3x5 = 120.
L.C.M of above values = 2x2x2x3x5 = 120.
Shyam said:
7 years ago
How this relation come 1/A+1/B+1/C = 1/15?
Third pipe can empty tank that means 1/A+1/B-1/C = 1/15.
Third pipe can empty tank that means 1/A+1/B-1/C = 1/15.
(1)
Vishal gawali said:
7 years ago
We can directly determine the total capacity of tank by taking LCM of 20 24 15 as 120.
Sowmi said:
1 decade ago
A measure of capacity for liquids. Say water or milk can be measured on gallons.
Sindhu said:
9 years ago
Why making the values in the ratio one we get.
C = 1/15 - (1/20 + 1/24).
C = 1/15 - (1/20 + 1/24).
Nitin said:
9 years ago
L.C.M of 20, 15, 24 = 120 unit total capacity.
120/3 = 40.
40 * 3 = 120.
120/3 = 40.
40 * 3 = 120.
ASHUTOSH SAHANI said:
9 years ago
120 gallon is waste water, which drains out from the tank in 15 min.
Tubai said:
8 years ago
Your logic is most acceptable or easy to me, Thanks @Rabi.
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