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AMO 2027 Grades 6-7 SET 18 - Self-study Question 11

AMO · AMO 2027 Grades 6-7 SET 18 - Self-study

Question 11

A car and a motorcycle started traveling toward each other at the same instant, from cities A and B respectively. 72 minutes later, they met along the road and continued to travel toward their destinations. Given that the speed of the car is $1\frac13$ times that of the motorcycle. How many minutes after the car reached the city B would the motorcycle reach the city A?

**Editorial note for this self-study exercise:** Both speeds stay constant for the whole trip, both follow the same route, and neither stops. Enter the difference between their arrival times in minutes, without units.