A water tank of capacity 6000 liters is connected to 2 taps a' and b'. Water flows from these 2 taps at 90 liters per minute and 60 liters per minute respectively. To fill this empty tank, first tap a' is opened for some time and once it is closed, tap b' is opened till the tank is full taking a total of 90 minutes. What is the difference in the time (in minutes) for which the taps are opened to fill the tank?
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You can find the answer with relative ease if you think in terms of rate of filling.
The debit through tap A is 1 tank / 90min.
The debit through tap B is 1 tank / 60min.
If you turn both taps on, the debit of liquid into the tank will be
1/90 + 1/60 = 5 tanks / 180min = 1 tank / 36min.
So, the tank would fill in 36min.
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