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Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other.

At each mile along the road are milestones. The buses' speeds are constant and in the ratio 5 to 4; the one leaving Shipton is faster (It has a bigger engine!). The buses travel to and fro between the towns .

They meet for the second time at the 145th milestone and for the third time at the 201st milestone. What milestones are at Shipton and Veston?




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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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