Question

A distance of 68 km is represented on a map by 1.7 cm . what distance is represented by 8.5 cm on the same map ?

Answer 1

68 km is represented as 1.7 cm on a map

∴ 1 km represented on the map is $\frac{1.7}{68}$

Let the distance that is represented on map by 8.5 cm be ' x '

So, $\frac{1.7}{68} × 8.5$

$\frac{1.7}{68} × x = 8.5 \\ \\ x = \frac{8.5 \times 68}{1.7} \\ \\ x = \frac{85 \times 68}{17} \\ \\ x = \: \frac{85 \times \cancel{68}}{ \cancel{17} } \\ \\ x = 85 \times 4 \\ \\ x = 340km$

So 340 km is represented by a map is 8.5 cm

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