The boat sailed 66 km along the river in 3 hours. Calculate the speed of the boat upstream
The boat sailed 66 km along the river in 3 hours. Calculate the speed of the boat upstream of the river if the speed of the river is 2 whole 2/3 km / h?
Let’s calculate at what speed the boat was going down the river: 66: 3 = 22 km / h.
Let’s calculate the speed of the boat (own): 22 – 2 2/3 = 21 3/3 – 2 2/3 = (21 – 2) + (3/3 – 2/3) = 19 + 1/3 = 19 1/3 km / h.
Let’s calculate at what speed the boat will go upstream: 19 1/3 – 2 2/3 = 18 4/3 – 2 2/3 = (18 – 2) + (4/3 – 2/3) = 16 + 2 / 3 = 16 2/3 km / h.
Checking.
Let’s calculate at what speed the boat was going down the river: 66: 3 = 22 km / h.
Let’s calculate twice the speed of the river: 2 2/3 + 2 2/3 = 4 4/3 = 5 1/3 km / h.
Let’s calculate at what speed the boat will go upstream 22 – 5 1/3 = 21 3/3 – 5 1/3 = (21 – 5) + (3/3 – 1/3) = 16 + 2/3 = 16 2/3 km / h.
Answer: 16 2/3 km / h.