Example 5 - The scale of a map is given as 1:30000000. Two cities

Example 5 - Chapter 13 Class 8 Direct and Inverse Proportions - Part 2
Example 5 - Chapter 13 Class 8 Direct and Inverse Proportions - Part 3

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Example 5 The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the actual distance between them. Given, Scale of map is 1:30000000 This means that 1 cm on map is actually 3,00,00,000 cm distance Let’s first convert 3,00,00,000 cm into km 3,00,00,000 cm = 3,00,00,000 × 1/100 m = 3,00,000 m (As 1 m = 100 cm) = 3,00,000 × 1/1000 km = 300 km So, 1 cm on map is 300 km actual distance We need to find actual distance if distance in map is 4 cm Let actual distance be y km Thus, our table looks like Now, As actual distance increases, distance in map also increases. ∴ They are in direct proportion. 1/300 = 4/𝑦 𝑦 × 1= 4 × 300 𝑦 = 1200 𝑦 = 1200 km ∴ The two cities are actually 1200 km apart.

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.