Question

Mr Powell and Ms. Krawczyk live 24 miles apart. They agree

to meet at their favorite restaurant, which is (8x 2) miles from Mr Powell!
house, and (5x+10) miles from Me Krawczyks. Assuming a straught
line distance, the restaurant halfway between their houses?
Jurnity your answer.

Answer 1

Explanation:

If Mr Powell and Ms. Krawczyk live 24 miles apart, then the distance between their houses is 24 miles.

Let A be the Mr powell house, B be Ms. Krawczyk house and C be the restaurant. If the restaurant is halfway their houses and the distance between their houses is a straight line distance, then AC = CB where AC is the distance between Mr Poweel house and the restaurant and CB is the distance between Ms. Krawczyk house and the restaurant.

Given AB = (8x-2) miles and CB = (5x+10) miles

8x-2 = 5x+10

Collect like terms;

8x-5x = 10+2

3x = 12

x = 4

Substituting x = 4 into AB and CB

AB = 8(4)-2

AB = 32-2

AB = 30 miles

BC = 5(4)+ 10

BC = 20+10

BC = 30 miles