Question

Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. Suppose it take johnny 15 longer to walk to home than to run to school. Write an equation that shows this relationship.

Answer 1

first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour

now,

from home to school it takes: m/8 hours

and from school to home m/4 hours

we can pass it to minutes multiplying by 60

so:

from home to school it takes: m*7.5 minutes

and from school to home m*15 minutes

and now the relations between these two amount of minutes is that takes 15 more from school to home so:

7.5m+17

Explanation: