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In a map, 30 miles is represented by 20 cm. What is the length of the kilometer scale if the maximum length to be measured is 10 km? (1 mile = 1.609 km)

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In a map, 30 miles is represented by 20 cm. What is the length of the kilometer scale if the maximum length to be measured is 10 km? (1 mile = 1.609 km)

(a) 4.14 cm

(b) 10.73 cm

(c) 9.32 cm

(d) 24.14 cm

This question was posed to me in final exam.

I'm obligated to ask this question of Types of Scales topic in division Scales of Engineering Drawing

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The correct choice is (a) 4.14 cm

Easiest explanation: The formula for calculating the length of the scale is given by; Length of the scale = R.F. x maximum length to be measured. Hence from the formula, length of the scale = 20 ÷ (30 x 1.609 x 1000 x 100) x 10 x 1000 x 100 = 4.14 cm.

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