Question

Joseph and Isabelle left Omyra’s house at the same time. Joseph jogged north at 8 kilometers per hour, while Isabelle rode her bike west at 12 kilometers per hour. Omyra tried to figure out how far apart they were after 1.5 hours. Her work is shown below. Which statements describe her errors? Check all that apply.

A right triangle. The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.

Answer 1

Step-by-step explanation:

speed of Joseph is 8 kmph.

so, after 1.5 hour he travels a distance of 8×1.5 km=12km

speed of Isabelle is 12kmph.

so, after 1.5 hours he travels a distance of 12×1.5 km=18km

Therefore, Omyras house is 12km from North and 18km from West

Answer 2

Answer:

Statement describes her errors: The distance north from Omyra's House is 8 kilometers, and the distance west is 12 kilometers.

Step-by-step explanation:

• Distance covered by Joseph's: Speed of Joseph = 8 km/ hr.

                                                              Time taken = 1.5 hr.

     Distance covered = Speed × time taken = 8 × 1.5 = 12 km.

• Distance covered by Isabelle: Speed of Isabelle = 12 km/ hr.

                                                            Time taken = 1.5 hr.

     Distance covered = Speed × time taken = 12 × 1.5 = 18 km.

• Distance between them: From Omyra's house Joseph is at 12 km north and Isabelle is at 18 km west.

      So, the distance between them = hypotenuse of the right angle triangle = $\sqrt{12^2 + 18^2}$ = $\sqrt{144 + 324}$ = 21.6 km

• Error: As in North the distance is 12 km and in west distance is 18 km, but Omyra took those distances as 8 km and 12 km. The error is in taking the distances from Omyra's house.

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