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.

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


Algebra & Pre-Algebra, Deductive Reasoning & Logical Thinking, Linear Equations
K-6, Middle School, High School, Educator

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NRICH (University of Cambridge)

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