1,One pump can empty a pool in 3 days, whereas a second pump can empty the pool in 11 days. How long will it take the two pumps, working together, to empty the pool? (Fractional answers are OK.)

The first pump's rate isper day._______

The second pump's rate isper day.___________

The combined pumps rate isper day.___________

It will take the two pumpsdays to empty the pool together.__________

2, The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 550 workers work 3 hours and can produce 16549.5 widgets.

k =_____

How many widgetscan be produced by 600 workers in 34 hours?

Widgets =________

3, Suppose that y is inversely proportional to x.

Find the constant of proportionality k if y = 16 when x = 12.

k =_______

Using the k from above write the variation equation in terms of x.

y =________

Using the k from above find y given that x = 39.

y =__________