The tourist traveled one third of the way at a speed of 60 km / h, another third on a bicycle at a speed of 20 km / h
| September 3, 2021 | education
The tourist traveled one third of the way at a speed of 60 km / h, another third on a bicycle at a speed of 20 km / h and a third on foot at a speed of 5 km / h. What is the average tourist speed?
To calculate the value of the average speed of movement of the tourist in question, we use the formula: Vav = S / (tа + tв + tп) = S / (S / 3Vа + S / 3Vв + S / 3Vп) = 1 / (1 / 3Vа + 1 / 3Vв + 1 / 3Vp).
Values of variables: Vа – tourist speed on the bus (Vа = 60 km / h); Vв – speed on a bicycle (Vв = 20 km / h); Vп – walking speed (Vп = 5 km / h).
Calculation: Vav = 1 / (1 / 3Va + 1 / 3Vv + 1 / 3Vp) = 1 / (1 / (3 * 60) + 1 / (3 * 20) + 1 / (3 * 5)) = 11, 25 km / h
Answer: The tourist in question was moving at an average speed of 11.25 km / h.
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