Question

Two ice skaters started on opposite ends of a 200-foot-long rink and then skated toward each

other at constant speeds. The faster skater traveled 7 feet for every 6 feet the slower skater
traveled. If.x represents the number of feet the slower skater had traveled at the moment the
skaters passed each other, which proportion can be used to find .x?

Answer 1

The proportion that can be used to find x is;

(200-x)/x = 7/6

Explanation:

Now, we want to find the proportion which can be used to find x.

From the question, we are told that the father skater traveled 7 ft for every 6 ft of the slower skater;

this means that the ratio of their speed is 7:6

Now, when they passed each other , the slower skater has traveled x ft, what this means is that the faster skater will have traveled a distance of (200-x) ft at that moment they passed each other.

Mathematically, since their time is equal i.e the time they used to pass each other, then, the ratio of their distances is same as the ratio of their speeds;

Hence;

(200-x)/x = 7/6 or x/(200-x) = 6/7