Question

Leila is walking from the park at point P to a restaurant at point R. She wants to stop for a break when the distance she has travelled and the distance she has left to travel has a ratio of 3:5, at which point should Leila stop for her break?

Answer 1

Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.

Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.

Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.

Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.

Explanation: