The steamer covers the distance between points A and B and back without stopping in three whole, three-eighths of an hour. The steamer’s speed in still water is 18 km / h, and the speed of the river is 2 km / h. Find the distance from A to B.
1. We calculate the speed of a river vessel when moving in the direction of the water flow:
18 + 2 = 20 km / h.
2. We calculate its speed when moving in the direction opposite to the water flow:
18 – 2 = 16 km / h.
3.3 3/8 hours = 27/8 hours.
4. We take as x (kilometers) the distance between points A and B.
5. Considering that the total travel time of a river vessel is 27/8 hours, we will draw up the equation:
x / 20 + x / 16 = 27/8;
(16x + 20x) 320 = 27/8;
36x = 320 x 27/8;
x = 30 kilometers.
Answer: the distance between points A and B is 30 kilometers.
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