NRICH: Walk and Ride

How far have these students walked by the time the teacher’s car reaches them after their bus broke down?

A group of 10 students are on a field trip when their bus breaks down 40 miles away from the school.

A teacher takes 5 of them back to school in her car, travelling at an average speed of 40 miles per hour.

The other 5 students start walking towards school at a steady 4 miles per hour.

Van

The teacher drops the 5 at school, then immediately turns around and comes back for the others, again travelling at a steady speed of 40 miles per hour.

How far have the students walked by the time the car reaches them?

Age 7 to 14


Math Topics
Algebra & Pre-Algebra, Deductive Reasoning & Logical Thinking, Linear Equations
K-6, Middle School, High School, Educator
2nd Grade, 3rd Grade, 4th Grade, 5th Grade, 6th Grade, 7th Grade, 8th Grade, 9th Grade

What are you looking for?

Organization

NRICH (University of Cambridge)

Website URL

Type of Resource

Challenge

Assigned Categories