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
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
Do you enjoy thought-provoking questions? If so, this is the place for you.
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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
NRICH provides thousands of free online mathematics resources for ages 3 to 18, covering all stages of early years, primary and secondary school education – completely free and available to all.
Do you enjoy thought-provoking questions? If so, this is the place for you.
