Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply.

The hypotenuse of the way that they have taken is equal to 2 miles. Jogging this distance with a rate of 5 miles per hour will take Jesse 0.4 hours. Further, for Mark to be back to the starting point, the total distance covered is 2.75. Dividing the distance by 12 miles per hour, it will take Mark only 0.23 hours. Thus, Mark will reach the initial point first.

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azikennamdi azikennamdi · Answer 2 · 2022-05-13T13:54:21+02:00

From the analysis of the details of the question, we can predict that all things being equal, Mark will get to the initial point first. This is arrived at using the knowledge of the Pythagorean Theorem.

What is Pythagorean Theorem?

The Theorem of Pythagoras states that if C is taken as the Hypothenus of a right-angled triangle, c² will always be equal to a² + b², where A is the other two legs. That is a² + b² = c².

The hypotenuse of the path they have traveled is equal to 2 kilometers. Jesse will need at least 0.4 hours to jog this distance if he continues at a speed of 5 miles per hour.

It is also to be noted that Mark must travel 2.75 miles to return to his starting place. and will require only need 0.23 hours if he divides the distance by 12 miles per hour.

From the above we can state the following:

Mark will arrive at the starting spot first;
Mark will run home by covering about 2.75 miles; and
Mark will get home after about 10 minutes of 0.17 hours.

Learn more about the Pythagorean Theorem at:

https://brainly.com/question/343682

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