Ratio, Rate and Speed - Dividing Quantities in a Given Ratio

Priya completes a fitness challenge consisting of rowing, cycling and running in \(2\frac13\) hours.
She takes \(x\) minutes to run. Her rowing time is \(0.75x\) minutes, while her cycling time is \(30\) minutes longer than her running time.

1. Form an equation in terms of \(x\) and find her running time.

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The total distance covered in the challenge is \(21\,000\) m. Priya rows at an average speed of \(70\) m/min, and the ratio of the distances covered by rowing, cycling and running is \(7:49:y\).

2. Find the value of \(y\).

   [2]

3. Calculate Priya's average cycling speed in m/min.

   [2]