Question

A school of tuna is making a 200 mile trip at an average air speed of 3 miles per hour in still water, but is swimming againist a current.

Express the tuna's travel time t, as a function of the current speed, v.

Answer 1

So, their actual speed is the "air speed" minus the current:
s = 3-v
And the time it will take them to make the trip is the distance divided by their speed:
t = 200/s
t= 200/(3-v)

Answer 2

and write and solve an equation to find the current spees if the school make its trip in 8 hours.

Answer 3

For that, just take the final equation and solve it for v:
t = 200/(3-v)
3 - v = 200/t
v = 3 - 200/t

and plug in 8 for t:
v = 3 - 200/8 = -22

(the negative number just means that the current is working in their favor)

Answer 4

so thats the answer

Answer 5

-22

Answer 6

is this right

Answer 7

can u help

Answer 8

Should be right, assuming I didn't make a math error somewhere.