Question

Jake lives 2⅓mile from school. He decides to walk to the shop on his way home. The shop is 1⅜mile from school. A) What is the shortest possible distance from the shop to his home? B) What is the largest possible distance from the shop to his home?

Answer 1

Shortest distance = 23/24

Farthest distance = 3 17/24 miles

Explanation:

Distance of home from school = 2 1/3 miles

Distance of shop from school = 1 3/8 miles

Shortest distance possible :

(2 1/3 - 1 3/8) miles

(7/3 - 11/8) miles

L. C. M = 24

(56 - 33) / 24

23 / 24 miles

The farthest distance :

(2 1/3 + 1 3/8) miles

(7/3 + 11/8) miles

L. C. M = 24

(56 + 33) / 24

89 / 24

= 3 17/24 miles