The motor ship sails uniformly along the river from pier A to pier B at a speed of 10 km / h
| February 10, 2021 | education
The motor ship sails uniformly along the river from pier A to pier B at a speed of 10 km / h, and backward at a speed of 15 km / h. Find the average speed of the ship’s path.
To find the average ground speed of a given motor ship, we will use the formula: Vav = S / (t1 + t2) = S / (S / 2VAB + S / 2VBA) = 1 / (1 / 2VAB + 1 / 2VBA).
Variables: VАВ – forward speed (VАВ = 10 km / h); VBA – speed in the opposite direction (VBA = 15 km / h).
Calculation: Vav = 1 / (1 / 2VAB + 1 / 2VBA) = 1 / (1 / (2 * 10) + 1 / (2 * 15)) = 12 km / h.
Answer: The average ground speed of this motor ship is 12 km / h.
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