Question

The direct distance between city A and city B is 200 miles. The direct distance between city b and city c is 300 miles. Which could be the direct distance between city c and city A

Answer 1

distance could be 100 ≤ AC ≤ 500

Explanation:

This problem states that A is far from B only for 200 miles, while B from C is only 300 miles away.

We don't know the exact location of these cities, we don't know for example, that city A is heading north from B, and C is north or east from B, but we can estimate the direct distance from the innitial data.

Let's suppose that they are on the same direction, a linear direction one after another.

We can have A----B-----C or even C---A----B

So, we can have the following possibilities:

C = 200 + 300 = 500 miles

or

C = 300 - 200 = 100 miles

This mean, the city C the farthest distance reach til a maximum of 500 miles, and the closest distance from A reach a minimum of 100 miles, therefore, the distance between these two cities could be in a ratio of 100 and 500 miles:

100 ≤ AC ≤ 500