Printable

2007 AMC 10A Problem 13

Include the solution Back to the problem

2007 AMC 10A Problem 13AMC 10 Step by Step

Name: Date: September 13, 2026

Linear Equations & Word Problems · difficulty 3 of 5 · about 3 min · position P11-15

Yan is somewhere between his home and the stadium. To get to the stadium he can walk directly to the stadium, or else he can walk home and then ride his bicycle to the stadium. He rides 7 times as fast as he walks, and both choices require the same amount of time. What is the ratio of Yan's distance from his home to his distance from the stadium?

A)
$\frac 23$
B)
$\frac 34$
C)
$\frac 45$
D)
$\frac 56$
E)
$\frac 78$

2007 AMC 10A Problem 13

Working