What do you mean this sentence?
the time a pump takes to drain the pool varies inversely with the power in watts of the pump,
The meaning would be : if we have a power in watts greater the time to drag the pool will be less because the relation between power and time is inverse.
40 watts--------------5 hours)
100 watts------------ x
because the relation between power and time is inverse, we multiply directly.
40 watts(5 hours)=100 watts x
x=(200 watts hours) / 100 watts=2 hours.
Answer: the time would be 2 hours. (the new pump is faster)
We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.
If Dave can complete a sales route in 4 hours, then his working rate is

Also, if James can do it in 5 hours, then his working rate is

Let

be the hours that both will use to complete the sales route,
Then rate at which both completes this task is

Meaning if we add their individual rates we should get

That is;

The LCM is

So let us multiply through with the LCM.


We simplify to get,

Dividing through by 9 gives;


Therefore the two will complete sales route in

hours.
Answer:
<h3>40 degrees</h3>
Step-by-step explanation:
If the temperature dropped 5 degrees every hour, this can be expressed as;
5 degree = 1 hour
To get the total number of degree dropped fro 8hours, we will say;
x degree = 8hours where x is the temperature drop in all
Solving both equality
5 degree = 1 hour
x degree = 8 hours
cross multiply
x * 1 = 5 * 8
x = 40 degrees
<em>Hence the total temperature drop in all is 40°</em>
The answer is as follows:
There are 2 pints in a quart.
There are 2 quarts in a half gallon.
There are 2 half gallons in a gallon.
Therefore, we can conclude that there are 10 quarts of orange juice.