Starting at the same point, tom and juanita go biking in opposite directions. if tom rides at a speed of 14 mph, and juanita rides at a speed of 20 mph, how far apart will they be in 2 hours?

( include explanation, you! )

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Step-by-step explanation:aqvuaq

68 miles

Step-by-step explanation:

After 2 hours, Tom and Juanita will be Tom's distance plus Juanita's distance apart because they are traveling in opposite directions.

Calculate Tom's distance below.

14 mph × 2 hours = 28 miles

Calculate Juanita's distance below.

20 mph × 2 hours = 40 miles

The total distance is the sum of Tom's and Juanita's distances, shown below.

28 miles + 40 miles = 68 miles

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240