Question

Karen walked to school at an average of 3 miles an hour and jogged back home along the same route at 4 miles per hour.

If the total time going and coming back took exactly one hour, what was the number of miles one-way from home to school?

Answer 1

Explanation:

Let the distance from home to school be ‘d’ miles.

The time taken to walk from home to school is given by:

t1 = d / 3

The time taken to jog from school to home is given by:

t2 = d / 4

The total time taken is given by:

t1 + t2 = 1 hour

Substitute:

d / 3 + d / 4 = 1

Multiply both sides by 12,

4d + 3d = 12

Simplify:

7d = 12

Therefore, the distance from home to school is:

d = 12 / 7 miles

So, the number of miles one-way from home to school is approximately 1.71 miles.