### 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?

### Oh for the Mathematics of Yesteryear

A garrison of 600 men has just enough bread ... but, with the news that the enemy was planning an attack... How many ounces of bread a day must each man in the garrison be allowed, to hold out 45 days against the siege of the enemy?

### Balancing 1

Meg and Mo need to hang their marbles so that they balance. Use the interactivity to experiment and find out what they need to do.

# Painting the Forth Bridge

##### Stage: 3 Short Challenge Level:
It takes $ab$ man hours to paint $c$ square metres of the bridge and therefore $\frac {ab}{c}$ man-hours to paint $1$ square metre of the bridge. So $d$ men will take $\frac {ab}{cd}$ hours to paint $1$ square metre and $\frac {abe}{cd}$ hours to paint $e$ square metres.

This problem is taken from the UKMT Mathematical Challenges.

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