AljakeVillena
AljakeVillena AljakeVillena
  • 21-10-2021
  • Mathematics
contestada

Anthony drives 15 km at 40 kph and return at the rate of 60kph , what is the average rate for the entire round trip​

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sqdancefan
sqdancefan sqdancefan
  • 21-10-2021

9514 1404 393

Answer:

  48 kph

Step-by-step explanation:

The distance is immaterial, as long as it is the same at both speeds. The total time for some distance d is ...

  t = d/40 +d/60

And the average speed is ...

  2d/t = 2d/(d(1/40 +1/60) = 2/(1/40 +1/60) = 2(40)(60)/(40+60) = 4800/100 = 48

The average rate for the round trip is 48 kph.

_____

Additional comment

This value is called the harmonic mean of the two speeds. It is the reciprocal of the average of the reciprocals of the speeds.

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