### Speedy Sidney

Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the two trains. How far does Sidney fly before he is squashed between the two trains?

### Rule of Three

If it takes four men one day to build a wall, how long does it take 60,000 men to build a similar wall?

### Digital Times

Which segment on a digital clock is lit most each day? Which segment is lit least? Does it make any difference if it is set to 12 hours or 24 hours?

# Flying Down Under

##### Stage: 3 Short Challenge Level:
Fred flew to Melbourne, Australia. The flying time to Melbourne, which is 11 hours ahead of Britain, was 21 hours. Fred's flight left London at 11.30am on Tuesday. What time was it in Melbourne when Fred's flight arrived?

This problem is taken from the UKMT Mathematical Challenges.
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