37.3k views
5 votes
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. A blue cans is 6 inches tall and burns at a rate of 1/5 inch per hour. After how many hours will both candles be the same height

User E Dine Sh
by
7.4k points

1 Answer

1 vote

Answer:

It would take 4 hours for both candles to be the same height

Explanation:

Total time (t) for red candle to be same height (h) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h

Initial height=8 inches

Rate per hour=rate×time=(7/10)×t=0.7t

Substituting;

h=8-0.7t

Total time (t) for blue candle to be same height (h1) can be expressed as;

Final height after time t=Initial height-rate per hour

where;

Final height after time=h1

Initial height=6 inches

Rate per hour=rate×time=(1/5)×t=0.2t

Substituting;

h1=6-0.2t

Since h=h1

8-0.7t=6-0.2t

8-6=0.7t-0.2t

0.5t=2

t=2/0.5

t=4 hours

It would take 4 hours for both candles to be the same height

User Clueless
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories