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

Kelvin went jogging at a park. He first ran up a slope for \(10\) minutes, followed by jogging on flat ground which is \(3\text{ km}\) long at a speed of \(0.2\text{ km/min}\) before running down another slope for \(8\) minutes.

The ratio of Kelvin's speed while running up the slope, on the flat ground and down the slope is \(2 : 4 : 5\).

1. Find Kelvin's speed while going up the slope in kilometres per minute.[1]

2. Given that Kelvin rested for \(2\) minutes after going up the slope, find the average speed of his workout, in kilometres per minute, correct your answer to \(2\) decimal places.

   [2]