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Problem of the Week
Problem A and Solution
Spoke Too Soon

Problem

Ian rides his bike around a circular track that is \(400\) m long. He rides \(4\) full laps. His sister, Lisa, rides \(3\) more laps than Ian, but her circular track has a length of \(250\) m.

Who rides farther, and by how many metres?

Solution

Ian rides \(4\) laps of the \(400\) m track for a total of:

\(400 + 400 + 400 + 400 = 1600\) m

Lisa rides \(4 + 3 = 7\) laps of a \(250\) m track for a total of:

\(250 + 250 + 250 + 250 + 250 + 250 + 250 = 1750\) m

Lisa rides further by a total of \(1750 - 1600 = 150\) m.