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For a particular 5 hours journey, Alex travelled at an average speed of (2x + 5) km/h for
the first 2 hours. He then travelled at an average speed of (3x - 5) km/h for the last 3
hours to complete his journey.

(a) Write down an expression, in terms of x, to represent the distance travelled by
Alex in the first 2 hours of his journey
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Respuesta :

MrRoyal

Answer:

4x + 10

Step-by-step explanation:

Given

Let

[tex]t = time[/tex]

[tex]s = speed[/tex]

So:

[tex]t = 2; s = (2x +5)[/tex] --- first 2 hours

[tex]t = 3; s = (3x -5)[/tex] --- last 3 hours

Required

Distance covered in the first 2 hours

Distance (d) is calculated as:

[tex]Distance = speed * time[/tex]

i.e.

[tex]d = s * t[/tex]

For the first 2 hours, we have:

[tex]t = 2; s = (2x +5)[/tex]

So:

[tex]d = (2x + 5) * 2[/tex]

Open bracket

[tex]d =2x * 2 + 5 * 2[/tex]

[tex]d =4x + 10[/tex]

Hence, the distance covered in 4x + 10

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