Correct question is;
Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south. Both leaves at the same time, ms.Iron person traveling at 50 mph and mr. Thoro at 60 mph. Calculate when they would be 400 miles apart and how long would it take to happen
Answer:
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours
Explanation:
Since Ms. Ironperson lives due east from the shawarma mediterran grill and Mr. Thoro lives due south,then the distance between them will be the hypotenuse of a right angle triangle.
Now, we are told that Ms. Ironperson is traveling at 50 mph and that Mr. Thoro is traveling at 60 mph.
Thus, if we want to find when they would be at 400 miles apart, it means we have to find the distance Ms. Ironperson and Mr. Thoro would have covered after a time "t".
Thus,
Ms. Ironperson covered 50t miles
Mr. Thoro covered 60t miles
Therefore, since their location forms a right angled triangle, then we can use pythagoras theorem and we have;
(50t)² + (60t)² = 400²
This gives;
2500t² + 3600t² = 160000
6100t² = 160000
t² = 160000/6100
t = √(160000/6100)
t ≈ 5.12 hours
Thus, for Iron person, distance covered is: 50 × 5.12 = 256 miles
For Mr. Thoro, distance covered is: 60 × 5.12 ≈ 307 miles.
They will be 400 miles apart when Ms. Ironperson has covered 256 miles and Mr. Thoro has covered 307 miles after 5.12 hours