Problem: Two men set out at the same time to walk towards each other from M and N , miles apart. The first man walks at the rate of 4 mph . The second man walks miles the first hour, miles the second hour, miles the third hour, and so on in arithmetic progression. Then the men will meet:
Answer Choices:
A. in hours
B. in hours
C. nearer than
D. nearer than
E. midway between and
Solution:
Let be the time each man walked. Then the distance the second man walked is given by . ; and each man walks miles, so that they meet midway between and .