Problem

Competing in an endurance race, Shannon cycled for $120 \mathrm{~km}$, then swam for $12 \mathrm{~km}$. Her average cycling speed was five times faster than her average swimming speed. Shannon took nine hours to complete the race. Calculate her average swimming speed. (5 marks)

Solution

Step 1 :Let x be Shannon's average swimming speed, then her average cycling speed is 5x. Set up the equation: \(\frac{120}{5x} + \frac{12}{x} = 9\)

Step 2 :Solve for x: \(x = 4\)

Step 3 :\(\boxed{4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/21454/

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