At what time should I lit the candles?

Algebra Level 2

Two candles have the same length but they are made of different materials. One of these candles burn completely in 3 hours and the other burn completely in 4 hour. Both of the candles burn in a uniform rate.

At what time should I lit both candles if I want that the length of one candle be twice the length of the other candle exactly at 4:00 pm?

2:36 pm 1:24 pm 2:24 pm 1:36 pm

Victor Paes Plinio by Victor Paes Plinio , 21, Brazil

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1 solution

Ossama Ismail
Feb 28, 2018

1 2 = L − L 180 t L − L 240 t \dfrac 1 2 = \dfrac {L- \dfrac{L}{180} t }{ L - \dfrac{L}{240} t }

Solving for t gives t= 144 minute = 2:24 hour

Time to lit both candles = 4: 00 - 2: 24 = 1:136 pm

2 Helpful 0 Interesting 0 Brilliant 0 Confused

should be level1 imo

Lucas Ferm - 8 months, 1 week ago

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