Question

A girl was given two candles by her father for her birthday and was told that one candle would burn for six hours and the other, four hours after they were both lit and allowed to burn for sometimes, the girl noticed that one candle was twice as long as the other state for how long the candles had been burning together? ​

Answer 1

The candles had been burning together for 3 hours.

Step-by-step explanation:

Suppose the candles had been burning for x hours.  

After x hours:  

First one had burned x/6 leaving (6-x)/6

Second one had burned x/4 leaving (4-x)/4.

But, given that after x hours, first candle is twice as long as the second.

Therefore (6-x)/6 = 2(4-x)/4.

6 - x/6 = 8 - 2x/4

4(6 - x) = 6(8 - 2x)

24 - 4x = 48 - 12 x

12x - 4x = 48 - 24

8x = 24

x = 24/8

x = 3

Thus we get x = 3

Answer 2

Step-by-step explanation:

ans. 3

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