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AMO 2027 Grades 8-9 SET 6 - Self-study Question 6

AMO · AMO 2027 Grades 8-9 SET 6 - Self-study

Question 6

Cindy leaves school at the same time every day. If she cycles at 20km/h, she arrives home at 4 : 30 in the afternoon. If she cycles at 10km/h, she arrives home at 5:15 in the afternoon. At what speed, in km/h, must she cycle to arrive home at 5:00 in the afternoon?
  1. $16\dfrac23$
  2. 15
  3. $13\dfrac13$
  4. 12
  5. $18\dfrac34$