Imagine a swimming pool 10 feet deep. Spout A can fill the tank in 1 hour and Spout B can fill the tank in 2 hours. There are 3 drain pipes, all near the bottom, and all connected to sensors. Drain C can drain the tank in 3 hours if it was continuous turned on, but only turns on at the 2 feet from the bottom mark. Drain D can drain the tank in 2 1/2 hours if it was continuous turned on, but only turns on at the 4 feet from the bottom mark. Drain E can drain the tank in 1 1/2 hours if it was continuous turned on, but only turns on at the 6 feet from the bottom mark.
All spouts and drains are turned on, with the spouts starting to fill the tank and no drains being activated until the water reaches the indicated heights.
How long until Drain C turns on?
How long until Drain D turns on?
How long until Drain E turns on?
How long until the water reaches the top?
When the water reaches the top, the spouts are turned off. How long until the pool is drained?
If you didn't want the water to reach the top, you could add a Drain F with a sensor that turns it on at the 9 foot mark. How fast would Drain F have to drain the pool if it was continuously turned on?
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Imagine a swimming pool 10 feet deep. Spout A can fill the tank in 1 hour and Spout B can fill the tank in 2 hours. There are 3 drain pipes, all near the bottom, and all connected to sensors. Drain C can drain the tank in 3 hours if it was continuous turned on, but only turns on at the 2 feet from the bottom mark. Drain D can drain the tank in 2 1/2 hours if it was continuous turned on, but only turns on at the 4 feet from the bottom mark. Drain E can drain the tank in 1 1/2 hours if it was continuous turned on, but only turns on at the 6 feet from the bottom mark.
All spouts and drains are turned on, with the spouts starting to fill the tank and no drains being activated until the water reaches the indicated heights.
How long until Drain C turns on?
How long until Drain D turns on?
How long until Drain E turns on?
How long until the water reaches the top?
When the water reaches the top, the spouts are turned off. How long until the pool is drained?
If you didn't want the water to reach the top, you could add a Drain F with a sensor that turns it on at the 9 foot mark. How fast would Drain F have to drain the pool if it was continuously turned on?
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