The boat sails 24 km along the river in 1h20min, and 3 km less upstream in 1.5h.
| May 7, 2021 | education
The boat sails 24 km along the river in 1h20min, and 3 km less upstream in 1.5h. Find the speed of the river and your own speed of the boat?
We find the distance that the boat is sailing against the stream of the river.
Since it is 3 km less than downstream, we get:
24 – 3 = 21 km.
Find the speed of the boat along the river and against it.
To do this, we divide the indicated distance by the time.
1 hour 20 minutes = 1 1/3 hours.
River speed:
24/1 1/3 = 24 * 3/4 = 6 * 3 = 18 km / h.
Velocity against the current.
21 / 1.5 = 14 km / h.
The proper speed will be equal to the arithmetic mean.
(18 + 14) / 2 = 32/2 = 16 km / h.
Current speed:
18 – 16 = 2 km / h.
Answer: 2 km / h and 16 km / h.
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