Mathematics

Problem Of the Week

Spring 2007

 

POW 9: How Much Salt?


A quantity of 200 lbs of salt is dissolved in a vat of water so that there are 600 gallons of salt water to begin a salt pumping experiment.  Next, salt water containing 1 pound of salt per gallon of water is continuously pumped into the vat at the rate of 5 gallons per minute.  Fluid is pumped out of the tank also at the rate of 5 gallons per minute.  Assuming a uniform mixture of water and salt at all times through agitation, find the amount of salt in the tank after 5 hours.

 

Due Friday, April 6th , at Noon.

  

Solutions should be submitted to Dr. Maegan Bos’ mailbox in the Math office or sent via e-mail to mbos@stlawu.edu

Presentation counts! The prize-winning entry will be selected from all correct submissions, based on the clarity, creativity and elegance of the solution.

Look for the SLU POW on the Web at http://it.stlawu.edu/~math/activities/