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AMO 2027 Grades 6-7 SET 16 - Self-study Question 4

AMO · AMO 2027 Grades 6-7 SET 16 - Self-study

Question 4

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?

**Editorial note for this self-study exercise:** Assume constant speeds on the same route and no extra time to get the bicycle. Enter the ratio as the numerical quotient (distance to home)/(distance to stadium), using a number or a fraction a/b, without units. Use a decimal point (.) if you enter a decimal.