A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of t

Question

2 years ago

8

ime. What is the rate of the boat in still water and what is the rate of the current?

1 answer:

Arturiano [62] · Answer 1 · 2022-10-25T20:54:05+03:00

9514 1404 393

Answer:

Step-by-step explanation:

The upstream speed is ...

u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.