Half of the time the horse runs at 15 km / h and the remaining half at 27 km / h, determine
| August 12, 2021 | education
Half of the time the horse runs at 15 km / h and the remaining half at 27 km / h, determine the average speed of the horse
V1 = 15 km / h.
V2 = 27 km / h.
t1 = t2 = t / 2.
Vav -?
To find the average speed of movement Vav, it is necessary to divide the entire path traveled by the train S by the time of its movement t along the entire path: Vav = S / t.
The entire path of horse S will be the sum of the horse’s paths in the first half of S1 and the second half of S2.
S = S1 + S2.
S1 = V1 * t1 = V1 * t / 2.
S2 = V2 * t2 = V2 * t / 2.
S = V1 * t / 2 + V2 * t / 2 = (V1 + V2) * t / 2.
Vav = (V1 + V2) * t / 2 * t = (V1 + V2) / 2.
Vav = (15 km / h + 27 km / h) / 2 = 21 km / h.
Answer: the average speed of the horse was Vav = 21 km / h.
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