The distance between city A and city B is 25 miles;city A is 1/16 the size of city B.The point of indifference between the two cities is _____ miles from A and _____ miles from B.

Question

Quizplus · Accepted Answer

Let x be the distance from city A to the point of indifference, and y be the distance from city B to the point of indifference.

We can set up two equations:

x + y = 25 (the total distance between the cities)

x/y = 1/16 (city A is 1/16 the size of city B)

Simplifying the second equation, we get x = y/16.

Substituting x in terms of y into the first equation, we get:

y/16 + y = 25

Solving for y, we get y = 20.

Substituting y = 20 back into x = y/16, we get x = 5.

Therefore, the point of indifference is 5 miles from city A and 20 miles from city B, which corresponds to choice C.

The Distance Between City a and City B Is 25