Yolanda grades 0.33 tests per minute.After giving a math test, Yolanda can grade 20 tests in 60 minutes and shawn can do it in 68 min. How long will it take them to grade the tests if they work together?

Shawn grades 0.294 tests per minute.

Together they grade 0.627 tests per minute.

20 tests/0.627 tests per minute = 31.87 minutes.

The difference is 10 yards. If one ran 2 yards per second faster than the total time is 10 yards/ 2 yards per second = 5 seconds.During an afternoon practice, two football team members took the same amount of time to run sprints of 40 yards and 50 yards, respectively. If one of the football team members ran 2 yards per second faster than the other, find the rate of each team member.

Slower member = 40 yards/5 seconds = 8 Yards per second

Faster member = 50 yards/5 seconds = 10 Yards per second

80 miles/4 gallons = 20 miles per gallon.The distance a car can travel varies directly with the amount of gas it carries. On the highway, a car travels 80 miles using 4 gallons of fuel. How many gallons are required to travel 200 miles?

200 miles/20 miles per gallon = 10 gallons

I= Current, P= Voltage, R= ResistanceA constant voltage is applied to a circuit that has a variable resistor. Varying the resistance causes the current to vary inversely. At a resistance of 8 OHMS, the current is measured to be 12 AMperes. Find the current when the resistance is 20 OHMS.

I=P/R or P=IR

We'll find P, and consider it to be constant for the second case.

P=8 Ohms x 12 Amps

P= 96 Volts

Now lets plug P back into I=P/R with the new R

I=96 Volts/20 Ohms

I= 4.8 Amps

I did these all in a rush but I trust my answers.