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## 'N Is a Number' printed from http://nrich.maths.org/

A group of

N people
holidaying in the seaside town

**A** decided to visit
their friends staying town

**B** which is

**N** km (kilometres) along the coast.

Some of the group walk along the cliff path at a steady
**N** km an hour. The rest, one less in number than
the walkers, go by car which (not counting stops) averages $10$
times the speed of the walkers.

The road is much longer than the cliff path.

Those in the car stop for **N** minutes for fuel,
then **N** times as long as that for coffee, and are
further delayed for **N** minutes by a flock of sheep.
They finally reach town **B** one minute before the
walkers.

How long is the road between towns **A** and
**B** ?