### Discussion :: Pipes and Cistern - General Questions (Q.No.10)

Kalpna said: (Oct 14, 2010) | |

Another method could be : 4/15+x/20=1 x=44/3 i.e 14 min 40 sec. 4/15 is the part filled by A in 4 mins and x is the total time taken to fill the tank by B. |

Priya P. said: (Dec 2, 2010) | |

@ kalpna. Thanks. Really less time consuming. |

Santhu said: (Dec 15, 2010) | |

Hi kalpana how u solve this x value 4/15+x/20=1 from above equation x val is = 46/3 its not 44/3.... |

Naveen said: (Dec 15, 2010) | |

Hi santhu. Its 44/3 only. |

Satyajit said: (Mar 12, 2011) | |

@thnx kalpna |

Talha said: (Sep 4, 2011) | |

How is 44/3 = 14 min 40 sec ? |

Anjali said: (Sep 17, 2011) | |

Hi Kalpna, How you write 44/3 = 14 min 40 sec ? |

Sundar said: (Sep 17, 2011) | |

@Talha It is simple yaar. 44/3 minutes = = 14(2/3) mins = 14 min 40 seconds ( 2/3 x 60 = 40 seconds) = 14 min 40 seconds. |

Preeti said: (Dec 6, 2011) | |

Another method could be : (1/15 + 1/20)*4 + (1/20)*x-4 = 1 7/15 + (X-4)/20 = 1 Hence x=44/3. = 14(2/3) mins = 14 min 40 seconds ( 2/3 x 60 = 40 seconds) Here 7/15 is the part filled by (A + B) in 4 mins. and (x-4) is the total time taken to fill the tank by B alone. Here 1 means show full tank. |

Mahi said: (Jul 29, 2012) | |

Thanks kalapana your solution is time consuming. |

Pavi said: (Sep 16, 2012) | |

Thank you sundar. |

Sudan said: (Jun 6, 2013) | |

I am weak in Maths. Please can anyone help me how to convert 44/3 into 14(2/3) ? |

Nikhil said: (Jul 2, 2013) | |

@Sudan. Change fraction into mixed fraction. Eg: 7/2 can be written in form on 3(1/2). Divide numerator with denominator and whatever remainder you got write it in bracket. Eg: a/b can be written as c(remainder/b). |

Teju said: (Dec 11, 2013) | |

Can anybody explain 1/20:8/15::1:x? |

Deepak Verma said: (Jul 20, 2014) | |

Its so simple: After 4 minute the a was turned off means till 4 minutes a and b work together. So, 4(1/15+i/20) = 7/15. Let total time take = x. Than 4 minutes after a is turned off so, 7/15+(x-4)*i/20 = 1. x = 14 min. 40sec. |

Anuraag2201 said: (Sep 5, 2014) | |

For all those who do not have clue as to how to convert improper fractions to mixed fractions. :/. Are you sure are ready for quants? |

Arunkumar said: (May 19, 2015) | |

@All. Better don't confuse with the complex solutions! as, the main part of the quantitative exam is to minimize time, all should look for a shortest solution, (as given by @Kalpana) but not merely a solution (with complex steps). For any question, a diagrammatic representation should be drawn roughly, to get a quick solutions. Also, 'learn by solving' is the key to prepare any exam. All the best! |

Vikash Patel said: (Jun 29, 2015) | |

Why x-4? |

Ramees said: (Feb 3, 2016) | |

Easy to convert 44/3 into 14(2/3). Divide 44 into 3 we get remainder 2(i.e 14*3 = 42). Then we can write 14 (remainder/3) that is 14(2/3). |

Neha said: (Jun 10, 2016) | |

How to change the fraction value into minutes? |

Sandy said: (Jul 14, 2016) | |

Super solution @Kalpna. |

Ashim said: (Jul 27, 2016) | |

LCM of 15 & 20 is 60. (4 + 3) * 4 = 28. 60 - 28 = 32. 4 + 32/3 =14min = 40sec. |

Venky said: (Jul 10, 2017) | |

Can anyone explain it in easy method? |

Varsha said: (Jul 20, 2017) | |

Why equating with 1? |

Manisha said: (Aug 10, 2017) | |

It is clear now Thank you, @Ashim. |

Leela said: (Jan 14, 2018) | |

Can anyone tell me why do we equate to one? |

D Priya said: (Feb 1, 2018) | |

@Leela. To fulfil the condition they equate to 1. A part of work + remaining part of work = 1. To be precise, you and your friend are doing a work by sharing. You completed half the work and your friend completed half the remaining work. Ie 1/2 + 1/2 = 1. This logic is being used in this kind of problems. |

Kailash Sharma said: (Feb 18, 2018) | |

a=15; b=20; l.c.m of 15,20=60; a's 1Min=60/15 => 4; b's 1Min=60/20 => 3; (a+b)'s 4Min= (4+3)*4=28; Now 60-28 = 32; b remaining time = 32/3 => 10.66. Now add 10.66+4 =>14.66. |

Debalina Roy said: (Dec 19, 2018) | |

"1/20 :8/15 :: 1:x " I can't understand this. Please explain me. |

Vinay Kumar Gupta said: (Apr 5, 2019) | |

In the question, it asks about the time required. It is not asking about total time so the answer will be 10 minute and 40 seconds. |

Revant said: (Jun 6, 2020) | |

@Preeti. Very clear solution. Thanks for explaining. |

Sriganesh. S said: (Jul 4, 2020) | |

Can anyone explain, why they multiplying 1 in (8/15) * (1*20)? |

Ezhil said: (Mar 14, 2021) | |

@Sriganesh. B can fill the tank in 1 min = 1/20 parts or work done of the tank. After 4 min, B can alone to fill the remaining part of the tank? min = 8/15 remaining parts or work done of the tank. By cross multiply 1/20 parts = 1 min. 8/15 parts = ? min. (8/15 * 1)/1/20 = ? 8/15 * 1 * 20 = ? 8/3*4 = ? ?=32/3=10 (2/3) min =10 min 40 sec (2/3 min convert to seconds 2/3 * 60=40 sec). Thus, Total Time Required to fill the tank = 4 min + 10 min 40 sec. = 14 min 40 sec. |

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