Robert walks to school at 4mph. It takes him 1/6 hours to walk 2/3 of the way to school. What is the distance between Roberts house and school?

Question

Robert walks to school at 4mph. It takes him 1/6 hours to walk 2/3 of the way to school. What is the distance between Roberts house and school?

Answer 1

If it takes 1/6 of an hour to walk 2/3 of the total school distance, then

(1/6) hour/(2/3) Total Distance equates to 3/12 or i/4 hour/Total Distance

So, (1/4)hour/Total DIstance x 4 miles/hour = 1 mile/Total Distance to School

Answer 2

Let x = distance to school

Distance = (Rate)(Time)

(2/3)x = 4(1/6)

(2/3)x = 2/3

x = 1 mile