CEMC Fryer, 2010

Algebra Difficulty 2.0 Junior Prove it Canada

Train 1 is travelling from Amville to Batton at a constant speed. Train 2 is travelling from Batton to Amville at a constant speed. (a) Train 1 travels at $60$ km/h and travels $\frac{2}{3}$ of the distance to Batton in $9$ hours. Determine the distance from Amville to Batton. (b) Train 2 travels $\frac{2}{3}$ of the distance to Amville in $6$ hours. How fast is the train going? (c) Train 2 started its trip $3\frac{1}{2}$ hours after Train 1 started its trip. Both trains arrived at Cuford at 9:00 p.m. What time did Train 1 leave Amville?

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