Question 1169512: A tank containing 50 litres of water develops a leak and loses water at a constant rate. After 20 minute it contains 40 litres. After a further 30 minutes the tank is 5% of its full capacity. Determine the tank's capacity.
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! at 0 minutes, the tank contains 50 liters.
at 20 minutes, the tank contains 40 liters.
at 50 minutes, the tank is 5% full.
if the tank is losing water at a constant rate, then it is losing the same amount of water each minute.
since it went from 50 liters to 40 liters in 20 minutes, it was losing 10 liters in 20 minutes.
losing 10 liters in 20 minutes at a constant rate means it is losing .5 liters per minute because 10 liters / 20 minutes = .5 liters per minute.
in another 30 minutes, at the constant rate of .5 liters per minute, it would lose an additional 15 liters.
the level would then be at 40 - 15 = 25 liters.
25 liters is 5% of the capacity of the tank, so the tank's capacity would have to be 25/.05 = 500 liters.
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