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Oh for the Mathematics of Yesteryear

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Painting the Forth Bridge

Stage: 3 Short Challenge Level: Challenge Level:2 Challenge Level:2
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.