Quadratic Functions, Equations and Inequalities - Solving Quadratic Equations

In a race, Kian walks at an average speed of \((x-1)\text{ km/h}\) for \(2x\) hours and cycles at an average speed of \(2(2x+1)\text{ km/h}\) for \((x+2)\) hours.

1. Write down an expression, in terms of \(x\), for the distance he walks.

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2. Write down an expression, in terms of \(x\), for the distance he cycles.

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3. Given that Kian covers a distance of \(194\text{ km}\), write down an equation, in terms of \(x\), and show that it reduces to \[ 3x^2 + 4x - 95 = 0 \]

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4. Solve the equation \(3x^2 + 4x - 95 = 0\).

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5. Hence, find the time Kian takes to finish the race.

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