Monday

December 22, 2014

December 22, 2014

Posted by **Kasie** on Wednesday, October 25, 2006 at 4:36pm.

Melissa lights 2 candles that are the exact same height at the exact same time. The blue candle takes 6 hours to burn completely. The purple candle takes 9 hours to burn completely. After how many hours will the slower burning candle be twice the height of the faster candle? How tall were the candles originally?

Please help. I'm in 7th grade and normally a very good math student but these are really hard. PLEASE RESPOND QUICKLY! I need this by tomarrow!!!

Bluerate=rb=1candle/6hrs

Purple rate=rp=1candle/9hrs.

Now, the length remaining is the original Length minus the burned part.

Length= Lorig - rburning*Time

Lengthblue= Lorig-Lorig/6*T

When the blue is one half the purple,

length blue= 1/2 Lp

Lorig (1- 1/6 T)= 1/2 Lorig(1-1/9 T)

1-T/6= 1/2 - T/18

solve for T.

Maria lights two candles of equal length at the same time. One candle takes 6

>hours to burn out and the other takes 9. How much time will pass until the

>slower-burning candle is exactly twice as long as the faster-burning one?

>Explain how you got the answer.

1--The faster burning candle, Fb, burns at the rate of L/6 inches per hour.

2--The slower burning candle, Sb, burns at the rate of L/9 inches per hour.

3--In t hours, Fb burns a distance of tL/6 inches.

4--In the same t hours, Fs burns a distance of tL/9 inches.

5--The unburned candle lengths at t hours are then (L - tL/6) or (6L - tL)/6 for Fb and (L - tL/9) or (6L - tL)/9 for Sb.

6--Since we are looking for the t where Sb's length is twice Fb's length, we can write (9L - tL)/9 = 2(6L - tL)/6.

7--Expanding, 54L - 6tL = 108L - 18tL.

8--Eliminating the L's throughout, we have 12t = 54 making t = 4.5 hours.

- math (rate) -
**Kelley**, Wednesday, February 13, 2008 at 8:28pm4.5 hours! It says it doesnt it?! stupid much! Unny way Im sorta a couple years of from when this was due! Im in 7th grade now Ive got a 99 in math1 No im not a nerd, quite the contrary! Im just smart, pretty, and i happen to have alot of freinds, unlike my BF David! JK! Unny way hope u got it rite! Byas!

**Answer this Question**

**Related Questions**

algebra. help!! - 6 hour have to change to minute. i hate words problem. so ...

algebra. help!! - I TRIED WITH X/6 - X/9 IT DIDN'T WORK. HERE THE PROBLEM: Two ...

mathh (unit rate) - Find the unit rate. $121.50 for working 18 hours wages = ...

math (rate) - A blue candle is twice as long as a red candle. The blue candle ...

Algebra 1 - ok, no one has helped me with it the first time, let's see if this ...

college math - the height (in cm) of a candle is a linear function of the amount...

math - A blue candle is twice as long as a red one. The blue takes 6 hours to ...

math - A blue candle is twice as long as a red one. The blue takes 6 hours to ...

Precalculus - The height (in centimeters) of a candle is a linear function of ...

Math - Tiffany can run 12 miles in the same time it takes her to bicycle 72 ...