SOLUTION: if candle A has to burn for 8 seconds, candle B has to burn twice as long as candle C where as candle D has to burn 3 times less than candle B and the total time spent burning all

Question 662228: if candle A has to burn for 8 seconds, candle B has to burn twice as long as candle C where as candle D has to burn 3 times less than candle B and the total time spent burning all candles is 30 seconds how long does candle B,C and D have to burn?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
if candle A has to burn for 8 seconds, candle B has to burn twice as long as candle C where as candle D has to burn 3 times less than candle B and the total time spent burning all candles is 30 seconds how long does candle B,C and D have to burn?
:
if candle A has to burn for 8 seconds,
a = 8
candle B has to burn twice as long as candle C
b = 2c
or
c = b/2
:
where as candle D has to burn 3 times less than candle B
d = (1/3)b
:
and the total time spent burning all candles is 30 seconds
a + b + c + d = 30
a = 8, therefore
b + c + d = 22 sec
:
how long does candle B,C and D have to burn?
replace c with b/2 and d with b/3
b + b/2 + b/3 = 22
multiply by 6, to get rid of the fractions
6b + 3b + 2b = 6(22)
11b = 132
b = 132/11
b = 12 min for candle b
then
c = 12/2 = 6 min for candle c
and
d = 12/3 = 4 min for candle d
:
Check this 8 + 12 + 6 + 4 = 30 min
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