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?

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

Step-by-step 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 =

Drainage rate =

Hence, the time to fill the tank would be:

 (Multiply by LCM)

x = 15

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