We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Henry decides one morning to do a workout and walks \(\frac{3}{4}\) of the way from his home to his gym. The gym \(2\) kilometers away from Henry's home. At that point, he changes his mind and walks \(\frac{3}{4}\) of the distance from there back toward the gym. If Henry keeps changing his mind when he has walked \(\frac{3}{4}\)of the distance toward either the gym or home from the point where he last changed his mind, he will get very close to walking back and forth between a point \(A\) kilometers from home and a point \(B\) kilometers from home. What is \(|A-B|\) ?

A. \(\frac{2}{3}\)

B. \(1\)

C. \(\frac{6}{5}\)

D. \(\frac{5}{4}\)

E. \(\frac{3}{2}\)

CalculatorUser Feb 15, 2019

#1**+1 **

This is an AMC 10B problem. You probably shouldn't post it until everyone has taken the test (maybe next week?). By the way, I was also stuck on this problem.

Mathcounts24 Feb 15, 2019