My Math Forum Filling a tank

 Pre-Calculus Pre-Calculus Math Forum

 August 29th, 2014, 08:13 AM #1 Member   Joined: Aug 2014 From: scotland Posts: 45 Thanks: 0 Filling a tank Water fill a tank at a rate of 150litres during first hour, 350 in the second hour, 550 in the third hour and so on. Find the time taking to fill tank 16mx9mx9m I know the volume is 1296m^3 and the volume in litres is 1296 x 1000 = 1296000. But is there a forumlae to link the +200 in L/h to work it out easier?
 August 29th, 2014, 03:23 PM #2 Senior Member   Joined: Aug 2008 From: Blacksburg VA USA Posts: 338 Thanks: 4 Math Focus: primes of course tank filling It is similar to a speed -distance problem. Recall derivatives are "rates", and antiderivatives/integration returns to the original "thing", in this case volume. Do you see how this can help you solve it? If I had a constant speed of 100 mph (initial d=0), how long to go 500 miles? Let the final time be Tf, start time be Ts (here 0) $\displaystyle integral(100) from Ts to Tf$yields $\displaystyle 100(Tf)-100(0) + K$ we know K=0 since initial d=0. K is the constant of integration 100*(Tf-0)=500 gives Tf=5 hours. So one has gone 500 miles in 5 hours. Your problem is only slightly different ... rather than a constant rate, yours is of the form rate=A*B(t) (it changes with time) Can you tell us what you think A and B(t) are? Last edited by billymac00; August 29th, 2014 at 03:24 PM. Reason: typo

 Tags filling, tank

,

,

### water fills a tank at a rate of 150 litres

Click on a term to search for related topics.
 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post chuackl Calculus 2 December 27th, 2013 05:06 PM Singularity Calculus 0 January 9th, 2013 10:54 AM Stuck Man Calculus 5 February 13th, 2012 04:28 AM becko Real Analysis 6 April 26th, 2010 08:54 PM techdaemon Advanced Statistics 7 February 1st, 2010 08:07 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top