Question

Mumbai is approximately 845845845 kilometers (\text{km})(km)left parenthesis, start text, k, m, end text, right parenthesis away from Bangalore, and Mumbai is approximately 1160\,\text{km}1160km1160, start text, k, m, end text away from Delhi. The distances, measured in centimeters (\text{cm})(cm)left parenthesis, start text, c, m, end text, right parenthesis, between the cities on Allyson's map are proportional to the real distances.
Which of the following could be the distances on Allyson's map?

Answer 1

From given, we have,

Bangalore to Mumbai distance is 845 km

Mumbai to Delhi distance is 1160 km

The distances, measured in centimeters (cm), between the cities on Allyson's map are proportional to the real distances.

We have,

The real distance from Bangalore to Mumbai/Mumbai to Delhi = The distance on Allyson's map Bangalore to Mumbai/Mumbai to Delhi

Let us now consider,

845/1160 = 42.25/58

we get, 49010 = 49010  

845/1160 = 16.9/23.2

we get, 19604 = 19604

845/1160 = 25.35/34.8

we get, 29406 = 29406

845/1160 = 116.5/174

we get, 147030 ≠ 135140

845/1160 = 23.4/29

we get, 24505  ≠ 27144

Mumbai to Bangalore distance can be, 42.25 cm or 16.9 cm or 23.35 cm.

Mumbai to Delhi distance can be, 58 cm or 23.2 cm or 34.8 cm.