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Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map? - Mathematics

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Question

Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Sum

Solution

Let the distance represented on the map be x cm.

The given information, in the form of a table, is as follows:

Distance covered on road in (in km) 18 72
Distance represented on map (in cm) 1 x

The distances covered on the road and represented on the map are directly proportional to each other. Therefore, we obtain

`18/1 = 72/x`

=> `x = 72/18`

=> x = 4

Hence, the distance represented on the map is 4 cm.

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Chapter 13: Direct and Inverse Proportions - Exercise 13.1 [Page 208]

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NCERT Mathematics [English] Class 8
Chapter 13 Direct and Inverse Proportions
Exercise 13.1 | Q 8 | Page 208

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