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Vincent sets off from his home on a 70 km journey to his friend's house. He travels the first 40 km of his journey at an average speed of 40 km/h and the remaining at an average speed of 60 km/h. Calculate the average speed for his entire journey.

Respuesta :

Answer:

50km/h.

Step-by-step explanation:

[tex]70 km \: {5}^{2} [/tex]

Answer:

[tex]46\frac{2}{3}\:\mathrm{km/h}[/tex]

Step-by-step explanation:

Average speed can be given by:

[tex]S=\frac{d}{t}[/tex], where [tex]d[/tex] is the total distance travelled and [tex]t[/tex] is the time it takes to travel said distance.

Vincent total travels [tex]70[/tex] kilometers in a total time of:

[tex]\frac{40}{40}+\frac{30}{60}=1.5\:\mathrm{hours}[/tex].

Therefore, his average speed during the entire trip is:

[tex]S=\frac{70}{1.5}=\fbox{$46\frac{2}{3}\:\mathrm{km/h}$}[/tex].

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