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With both taps open, Blake can fill his kitchen sink in 6 minutes. When full, the sink drains in 10 minutes. How long will it take to fill the sink if Blake forgets to put in the stopper?

User JustLudo
by
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1 Answer

5 votes

The time to fill the sink if Blake forgets to put in the stopper would be 15 mins.

Explanation:

Given that,

The kitchen sink can fill in: 6 mins

The sink can drain in: 10 mins

We have to find the time to fill the sink if Blake forgets to put in the stopper. For that,

Lets say, the full tank = 1

Filling rate =
(x)/(6)

Drainage rate =
(x)/(10)

Hence, the time to fill the tank would be:


(x)/(6) - (x)/(10) = 1


30.(x)/(6) - 30.(x)/(10) = 30.1 (Multiply by LCM)


5x - 3x = 30


2x = 30

x = 15

Hence, the time to fill the sink if Blake forgets to put in the stopper would be 15 mins.

User Dan Sanderson
by
8.2k points
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