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## 'Practice Run' printed from http://nrich.maths.org/

Chandrika was practising a long distance run she was going to do
next week.

In the first 10 minutes she ran well over 2 kilometres.

In the second 10 minutes she jogged just half that distance.

In the third 10 minutes she walked just half as far.

In the fourth 10 minutes she dawdled only half of that and so
on.

Well, in theory at least, she would
never have quite reached the end, but it happened that right at the
end of a 10 minute stretch, exactly one metre from the finishing
post, Chandrika tripped and fell forward over the line.

How long was the race to be and how
long did Chandrika take doing it?