Respuesta :
Answer:
If the speed of the current is 11 mph, what is the speed of the ferry is 77 mph
Step-by-step explanation:
Given , a ferry can travel 80 miles with the current in the same amount of time it takes to travel 60 miles against the current.
Speed of the current = 11 mph
Let the speed of the ferry be x
Therefore, the equation becomes
[tex]\frac{80}{x + 11} = \frac{60}{x - 11}[/tex]
cross multiplying the equation, we get
80 (x - 11) = 60 (x + 11)
80x - 880 = 60x + 660
20x = 1540
x = 77
Speed of ferry = 77 mph
The speed of the ferry is 77 mph.
Calculation of the speed:
Since A ferry can travel 80 miles with the current in the same amount of time it takes to travel 60 miles against the current. And, the speed of the current is 11 mph
So here the equation should be like
[tex]80 \div x + 11 = 60\div x - 11\\\\80(x - 11) = 60(x = 11)\\\\[/tex]
80x - 880 = 60x + 660
20x = 1540
x = 77
hence, The speed of the ferry is 77 mph.
Learn more about speed here: https://brainly.com/question/24772838
