A tortoise is moving at a rate of 2 feet per minute, while a hare is running at a rate of 8 feet per minute. If the tortoise had a head start of 180 feet, how long will it take for the tortoise and hare to meet? Which variables would you use for the equations of this scenario? Check all that apply.
f, representing feet for distance
h, representing hare
m, representing minutes for time
s, representing speed
t, representing tortoise

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Answer:

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Step-by-step explanation:

The answer is f, representing feet for distance and m, representing minutes for time

The time it takes for the tortoise and hare to meet is 30 minutes

what is speed?

speed is the rate of change of distance.

it helps us to know how fast or slow a body moves.

Analysis:

speed(s) for tortoise = 2 feet per minute

speed(s) for hare = 8 feet per minute

head start for tortoise = 180 feet

time(m) taken to cover 180 feet = 180/2 = 90 minutes

time taken to cover x distance by  = m + 90

speed = x/m+90

2 = x/m+90-----------------------1

time taken to cover x distance by hare with a speed of 8 feet/min = m

speed = x/m

8 = x/m----------------------------2

From equation2, x = 8m---------------------3

Substitute x equation 3 in 1

2 = 8m/m+90

2(m+90) = 8m

2m + 180 = 8m

6m = 180

m = 30 minutes

f, representing feet for distance

m, representing minutes for time

s, representing speed

In conclusion, the time taken for the tortoise and hare to meet is 30 minutes.

Learn more about speed: brainly.com/question/4931057

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