The speed of the stream is 5km/h
Пошаговое объяснение:
х - speed of the stream
15 + х - speed of the boat downstream
15 - x - speed of the boat contrastream
30/(15 + x) + 30/(15 - x) = 4.5
30(15 - x) + 30(15 + x) = 4.5(15² - x²)
450 - 30x + 450 + 30x = 1012.5 - 4.5x²
4.5 x² = 112.5
x² = 25
x = 5 (km/h)
x = -5 - impossible value
The speed of the stream is 5km/h
Пошаговое объяснение:
х - speed of the stream
15 + х - speed of the boat downstream
15 - x - speed of the boat contrastream
30/(15 + x) + 30/(15 - x) = 4.5
30(15 - x) + 30(15 + x) = 4.5(15² - x²)
450 - 30x + 450 + 30x = 1012.5 - 4.5x²
4.5 x² = 112.5
x² = 25
x = 5 (km/h)
x = -5 - impossible value