Question

MEDAL FOR BEST ANSWER.
A tiger shark swims 1000 meters in 5 mins downstream. Upstream, it would take the same shark 20 mins to swim the same distance. What's the rate of the tiger shark still in water? What's the rate off the current? (This is a Wind and Current problem.) (Word problem involving systems.)

Answer 1

1000=5(x+y)
1000=20(x-y)

do you see how i got those? distance=speed*time
let x be the speed of the shark in still water and y be the speed of the current

Answer 2

5 and 20?

Answer 3

Don't you have to convert it into a decimal? Because isn't it by hours?

Answer 4

And wouldn't it be 5(x-y)....

Answer 5

Well if you want mph then yes make them decimals. 5 mins with the current, so x+y

Answer 6

It's 5 minutes downstream...

Answer 7

Yes, so the shark is being helped by the current. Speed of the current+speed of the shark

Answer 8

So with the minutes made into hours it will be

1000=1/12(x+y)
1000=1/3(x-y)

now distribute on the right sides and solve

Answer 9

I got a decimal... Still trying it out...

Answer 10

For x or y?

Answer 11

208.333333333 for the shark.

Answer 12

1000=1/12x+1/12y
1000=1/3x-1/3y

solve one for y
1000=1/12x+1/12y
1000-1/12x=1/12y
12000-x=y

plug that into other equation for y
1000=1/3x-1/3(12000-x)

solve for x

Answer 13

umm...

Answer 14

1000=4000
I'm pretty sure that's wrong.

Answer 15

1000=1/3x-1/3(12000-x)
1000=1/3x-4000+1/3x
5000=2/3x
7500=x

Answer 16

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Answer 17

I see