Each day, ted can wax 8 cars or wash 10 cars, and tom can wax 3 cars or wash 5 cars. what is each man's opportunity cost of washing a car?

1/2

Explanation:

This will lead us to simultaneous equation since there are two person involved doing the same job each day.

For Ted;

Since Ted can wax 8 cars or wash 10 cars in a day. Mathematically, we have

8x + 10w = 1... (1)

Where x is for waxing cars, w is for washing cars

Similarly for Tom,

Tom can wax 3 cars or wash 5 cars in a day as well, this gives us;

3x + 5w = 1... (2)

Equating 1 and 2, we have;

8x + 10w = 1... (1)

3x + 5w = 1... (2)

Using elimination method, we will multiply eqn 1 by 3 and eqn 2 by 8 to have;

24x + 30w = 3

24x + 40w = 8

Subtracting eqn 4 from 5 we have;

30w - 40w = 3 - 8

-10w = -5

w = 5/10

w = 1/2

Therefore each man's opportunity cost of washing a car is 1/2

The speed of a car travelling over a hill that has a radius of curvature should not exceed a certain speed other it will topple. This speed is related to the radius of curvature and the gravitational acceleration as shown below:

V^2 = Rg, where V = maximum speed, R = Radius of curvature, g = gravitational acceleration.

Substituting;
V = Sqrt (Rg) =  Sqrt (120*9.81) = 34.31 m/s