The tourist swam across the sea on a boat at an average speed of 50 km / h.
| January 31, 2021 | education
The tourist swam across the sea on a boat at an average speed of 50 km / h. He flew back by plane at a speed of 450 km / h. Find the average speed of the tourist along the way.
To solve the problem, let’s compose an equation in which the total distance traveled by the tourist will be equal to the unknown number x.
In this case, the distance that he covered by boat and plane will be equal to: x / 2.
At a speed of 50 km / h, the travel time was: x / (2 * 50) hours.
At a speed of 450 km / h, the flight time was: x / (2 * 450) hours.
In this case, we get the following equation:
x / (2 * 50) + x / (2 * 450) = x / 100 + x / 900 = (Common denominator 9) = (9 * x + x) / 900 = 10 * x = 900.
x = 900/10 = 90 km / h.
Answer. The average speed was 90 km / h.
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