Problem: Two men at points and miles apart, set out at the same time to walk towards each other. The man at walks uniformly at the rate of miles per hour; the man at walks at the constant rate of miles per hour for the first hour, at miles per hour for the second hour, and so on, in arithmetic progression. The men will meet miles nearer than where is:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Let number of hours in which they meet. Then , . The meeting point is, therefore. miles from and miles from , so that .