the rate that water is coming into the pool, is the amount of water in the pool (x) divided by the amount of time it take to fill the pool. x / 10
the rate to empty the pool is x / 15
the rate to fill the pool wile it is being emptied, is the rate filling the pool minus the rate emptying the pool.
x / 10 - x / 15
simplified
3x / 30 - 2x / 30
this gives x / 30
divide the rate the pool is filling, by the amount of water. (x / 30) / x this gives a time of 30 hours to fill the pool.
Trick question. The pool is empty but the drain is open. With an open drain, the pool will never fill, unless the water entering exceeds the water draining.True,-----------> 20 hours
The reciprocal of the added reciprocals. 1/T = 1/A + 1/B + ... 1/Z In your case: 1/T = 1/5 + 1/2 +1/6 1/T = 6/30 + 15/30 + 5/30 1/T = 26/30 T = 30/26 = 15/13 hours = 1 hour 9 minutes 14 seconds
When moving your refrigerator from one property to another - you should let it stand (empty) in its new place for 12 hours before plugging it into the mains outlet. The same applies to a freezer unit.
7.7 hours
The purpose of a 72 hour kit is a backpack filled with stuff to last you 72 hours. These are supposed to be filled with items that can get you through a natural disaster until you can get help. A 72 hour kit should have bottled water, canned goods, a flashlight and batteries.
Trick question. The pool is empty but the drain is open. With an open drain, the pool will never fill, unless the water entering exceeds the water draining.True,-----------> 20 hours
Let part of swimming pool filled in x hours = y the pool filled in 1 hr = 1 \ h y = ( 1/h ) (x) y = x / h
If you want us to solve your homework, at least copy them here correctly. The question probably starts something like "A swimming pool can be filled using a pipe and a hose"...
Pump 'A' can fill 1/6 of the tank in one hour. 1/6 is the same as 2/12 Pump 'B' can drain 1/12 of the tank in one hour. If both pumps are running at the same time, then in one hour 2/12 get filled and 1/12 gets drained, and the net effect is 1/12 getting filled in that hour. If the tank is initially empty and both pumps start at the same time, then the tank will fill in 12 hours. *edit* It takes six hours if pump B is left off.
Assuming the flow rate is constant (in a real system, this probably will not be the case, at least for the drain; it probably drains faster when nearly full than when nearly empty), then for convenience sake let's say the pool holds six units of water. It fills at 2 units per hour and drains at 1 unit per hour. If both pipes are open, the net gain is 1 unit per hour, so it will fill in six hours (and then start overflowing unless both pipes are shut off).
The duration of Swimming to Cambodia is 1.42 hours.
The duration of Swimming - film - is 1.5 hours.
The duration of Swimming with Sharks is 1.55 hours.
The duration of Empty Cradle is 1.6 hours.
The duration of The Empty Mirror is 1.97 hours.
The duration of The Empty Star is 1.78 hours.
The duration of The Big Empty is 1.57 hours.