My Math Forum  

Go Back   My Math Forum > High School Math Forum > Elementary Math

Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion


Thanks Tree5Thanks
  • 1 Post By Denis
  • 1 Post By greg1313
  • 2 Post By Denis
  • 1 Post By greg1313
Reply
 
LinkBack Thread Tools Display Modes
July 9th, 2014, 03:41 AM   #1
Member
 
Joined: Jun 2014
From: Brighton

Posts: 49
Thanks: 2

A problem on pipe and tank

Help required to solve my math homework problem

A pipe can fill a tank in 5 hours,but because of the leak it takes 5 and half hours to fill the tank.Suppose the tank is full then how much the leak will take to empty the the whole tank?

Thanks
burgess is offline  
 
July 9th, 2014, 03:34 PM   #2
Newbie
 
Joined: Jul 2014
From: Arizona

Posts: 20
Thanks: 0

It would take 50 hours for the leak to empty the whole tank.
The reasoning behind that is because the pipe fills the tank with liquid in 5 hours, but due to the leak it takes 5.5 hours to fill the tank. So for every 5 hours the pipe leaks half an hour(.5) worth of liquid.
5 hours - .5 leaked
10 hours - 1
15h - 1.5
20h - 2
25h - 2.5
&
50h - 5
roketmike is offline  
July 9th, 2014, 04:21 PM   #3
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 13,140
Thanks: 915

55 hours.
Thanks from aaliyah
Denis is offline  
July 9th, 2014, 05:33 PM   #4
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,861
Thanks: 1080

Math Focus: Elementary mathematics and beyond
$\displaystyle \frac{11}{2}\left(\frac15-\frac1L\right)=1\Rightarrow L=55$
Thanks from aurel5
greg1313 is offline  
July 9th, 2014, 07:14 PM   #5
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 13,140
Thanks: 915

Melikes:

u = time to fill tank with no leak (5)
v = time to fill tank with leak (5.5)
w = time to empty tank due to leak (?)

General case:
w = uv / (v - u)

w = 5(5.5) / (5.5 - 5) = 55
Thanks from greg1313 and roketmike
Denis is offline  
July 10th, 2014, 04:53 PM   #6
Global Moderator
 
greg1313's Avatar
 
Joined: Oct 2008
From: London, Ontario, Canada - The Forest City

Posts: 7,861
Thanks: 1080

Math Focus: Elementary mathematics and beyond
1/w = 1/u - 1/v.
Thanks from Denis
greg1313 is offline  
July 11th, 2014, 01:13 AM   #7
Newbie
 
Joined: Jun 2014
From: United state

Posts: 14
Thanks: 0

Math Focus: algebra, geometry, trigonometry, calculus
w=uv/(v-u)

u= time to fill tank with no leak

v= time to fill tank with leak

w= time to empty tank due to leak

so

w= 5 x 5.5 / (5.5-5)

=55

Thanks for more details you can also take help online tutor.
aaliyah is offline  
July 11th, 2014, 02:48 AM   #8
Math Team
 
Joined: Oct 2011
From: Ottawa Ontario, Canada

Posts: 13,140
Thanks: 915

Quote:
Originally Posted by aaliyah View Post
Thanks for more details you can also take help online tutor.


OK: I'm ready to sign up...what do I do ?
Denis is offline  
July 18th, 2014, 03:59 AM   #9
Member
 
Joined: Jun 2014
From: Brighton

Posts: 49
Thanks: 2

Thank you all for your answers
burgess is offline  
July 21st, 2014, 02:07 AM   #10
Senior Member
 
shunya's Avatar
 
Joined: Oct 2013
From: Far far away

Posts: 422
Thanks: 18

I don't understand the solutions given in this thread

I solved it like this (with help from the solutions given in the thread)

Let filling rate without leak = x
Let leak rate = y
Let volume = V

Equation (1) V/x = 5
Equation (2) V/(x - y) = 5.5

Using the two equations I get y/V = 1/55
Which means V/y = time taken for the leak to empty the tank = 55

Am I correct?
Looking at the answers, it seems that this is a type of problem with a formula to solve it.
Any clarification will be appreciated. Thanks
shunya is offline  
Reply

  My Math Forum > High School Math Forum > Elementary Math

Tags
pipe, problem, tank



Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Water Tank Problem mr. jenkins Calculus 1 May 26th, 2014 01:09 AM
Water remaining in inner cubic tank bounded by outer tank chuackl Calculus 2 December 27th, 2013 05:06 PM
Cylindrical Tank Problem... perfect_world Calculus 4 November 21st, 2013 08:06 AM
Differential equations tank problem sivela Differential Equations 2 April 16th, 2012 01:28 PM
Tank problem Tiome_nguyen Calculus 2 December 15th, 2011 01:25 PM





Copyright © 2018 My Math Forum. All rights reserved.