The plane flew 1 third of the way at a speed of 1000 km / h, and the rest of the way at a speed

The plane flew 1 third of the way at a speed of 1000 km / h, and the rest of the way at a speed of 1300 km / h. Find the average flight speed.

Data: S1 (first leg of the path) = 1/3 S (general path); V1 (speed on the first leg) = 1000 km / h; S2 (remaining path) = 2/3 S; V2 (speed on the remaining path) = 1300 km / h.

To find the average flight speed, we apply the following formula: V = S / (t1 + t2) = S / (S1 / V1 + S2 / V2) = S / (S / 3V1 + 2S / 3V2) = 1 / (1 / 3V1 + 2 / 3V2).

Calculation: V = 1 / (1 / (3 * 1000) + 2 / (3 * 1300)) = 1181.8 km / h.

Answer: The average flight speed was 1181.8 km / h.



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