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Chapter 1: Problem 20

The distance between two cities \(A\) and \(B\) in a map is \(7.5 \mathrm{~cm}\). The scale taken for drawing this map is \(1 \mathrm{~cm}=1,50,000 \mathrm{~m}\). The actual distance between \(\mathrm{A}\) and \(\mathrm{B}\) is _______ \(\mathrm{km}\). (1) 1125000 (2) \(\quad 20000\) (3) \(\quad 200\) (4) 1125

Short Answer

Expert verified
Answer: ___________ km

Step by step solution

01

Write down the given information

We are given the distance between A and B on the map is 7.5 cm, and the scale is 1 cm = 1,50,000 m.
02

Calculate the actual distance in meters

To find the actual distance in meters between A and B, multiply the distance on the map (in cm) by the scale (in meters per cm). So, the actual distance in meters = 7.5 cm × 1,50,000 m/cm.
03

Convert the actual distance to kilometers

To convert the actual distance in meters to kilometers, divide the distance by 1000 (since there are 1000 meters in a kilometer). So, the actual distance in kilometers = (7.5 cm × 1,50,000 m/cm) / 1000.
04

Calculate the actual distance in kilometers

Now, simply multiply and divide the numbers to get the actual distance in kilometers: (7.5 × 1,50,000) / 1000.
05

Match the result with options given

After calculating the actual distance in kilometers, compare the result with the given options to identify the correct answer.
06

Verify the answer

The result should be a reasonable distance in kilometers, taking into account the scale of the map and the distance shown on the map.

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