Question

The numbers labeled on the map of Florida are mile markers. Assume that Route 10 between Quincy and Jacksonville is straight.
A map displaying the following towns and mile markers from left to right: Quincy, 181; Tallahassee, 199; Monticello, 225; Madison, 251; Live Oak, 283; Lake City, 303; Macclenny, 335; Jacksonville, 357.
181
199
225
251
283
303
335
357
Suppose you drive at an average speed of 52 ​mi/h. How long will it take to get from Quincy to Jacksonville​?
How can you use mile markers to find distances between​ points?
How do average​ speed, distance, and time all relate to each​ other?
How can you use mile markers to find distances between​ points?
A.
Treat the mile markers as coordinates and get the absolute value of their product.
B.
Treat the mile markers as coordinates and get the value of their sum.
C.
Treat the mile markers as coordinates and get the absolute value of their difference.
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Answer 1

A mile marker shows the distance from a reference point to a given object. So that the answers to the given questions are:

a. It will take 3.40 hours to get from Quincy to Jacksonville.

b. Option C.  Treat the mile markers as coordinates and get the absolute value of their difference.

c. Speed = $\frac{Distance}{Time taken}$

A mile marker is a number that depicts the distance from a reference point to a given object or location. It can be used to determine the distance between two or more objects with respect to all locations having the same initial reference point.

Thus;

a. Given a speed of 52 mi/h, then;

distance between Quincy and Jacksonville = 357 - 181

                                                           = 176

The distance between Quincy and Jacksonville = 176 miles

So that;

Speed = $\frac{Distance}{Time taken}$

⇒ Time taken = $\frac{Distance}{Speed}$

                       = $\frac{176}{52}$

                       = 3.3846

Time taken = 3.40 hours

Therefore, it will take 3.40 hours to get from Quincy to Jacksonville.

b. Mile maker can be used to find the distances between points by treating them as coordinates, and getting the absolute value of their difference.

c. Speed is a quantity that can be determined by calculating the rate of distance moved with time taken. Then, speed, distance and time are related by;

Speed = $\frac{Distance}{Time taken}$

It is measured in SI unit of m/s.

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Answer 2

It will take 3 hours 23 minutes to get from Quincy to Jacksonville.

Given that Route 10 between Quincy and Jacksonville is straight, and there is a map displaying the following towns and mile markers from left to right: Quincy, 181; Tallahassee, 199; Monticello, 225; Madison, 251; Live Oak, 283; Lake City, 303; Macclenny, 335; Jacksonville, 357, to determine, supposing that I drive at an average speed of 52 ​mi/h, how long will it take to get from Quincy to Jacksonville​, the following calculation has to be done:

• Quincy = 181
• Jacksonville = 357
• (357 - 181) / 52 = X
• 176 / 52 = X
• 3.3846 = X
• 1 = 60
• 0.3846 = X
• 0.3846 x 60 = X
• 23 = X

Therefore, it will take 3 hours 23 minutes to get from Quincy to Jacksonville.

So, as it can be seen, we should treat the mile markers as coordinates and get the absolute value of their difference, so the correct option is C.

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