The car drove the first half of the route at a speed of 42 km / h, and the second at a speed of 48 km / h

| July 3, 2021 | education

The car drove the first half of the route at a speed of 42 km / h, and the second at a speed of 48 km / h. Find the average speed of the car along the way.

The solution of the problem:
The average speed along the entire path is equal to the ratio of the entire path to the entire time: Vaverage = S / t.
The entire path is S. Then t1 = 0.5S / 42 = S / 84 is the time spent by the car on the first half of the track.
t2 = 0.5S / 48 = S / 96 – the time spent by the car on the second half of the track.
Let’s find the time that was spent on the whole journey: t = S / 84 + S / 96 = (96S + 84S) / (96 * 84) = 180S / 8064 = 45S / 2016.
Let’s find the average speed: Vaverage = S / (45S / 2016) = 2016/45 = 44.8 (km / h).
The answer to the problem: the average speed of the car throughout the entire journey is 44.8 km / h.



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