Similarity, SMB-002

A map is drawn to scale, on 1-cm paper, showing the position of a supermarket and a cinema. A reservoir is also shown.

It takes 10 minutes to walk in a straight line from the cinema to the supermarket at a constant speed of 3 km/h. Show that the scale of the map is 1 cm = 100 m. (3 marks)

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`text(3 km/h = 3000 metres per 60 minutes)`

♦ Mean mark part 49%.

`text(In 10 minutes:)`

`text(Actual distance) = 3000 xx 10/60 = 500\ text(metres)`

`text(Distance on map = 5 cm)`

`:.\ text(Scale 5 cm)`	`: 500\ text(metres)`
`text(1 cm)`	`: 100\ text(metres)`