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Mathematics 13 Online
OpenStudy (anonymous):

Help my paper says to do this... ill make it clear now lol sorry mods:) Write an equation using this: The camper traveled 2 hours downstream at 6mph. The camper traveled 6 hours upstream at 2mph. You know the answer would be 24 miles overall, so write an equation based on that.

OpenStudy (pfenn1):

Well, we know that when you are traveling downstream, the boat and the river are both moving in the same direction, therefor the speed would be the addition of the boat speed and the stream speed. When the boat is traveling upstream the stream speed must be subtracted from the boat speed. The distance traveled downstream must equal the distance traveled back upstream (because you want to land back where you started. The distance would be given by the speed multiplied by the time.

OpenStudy (pfenn1):

So let x = the boat speed and y = the stream speed. Can you write an equation for how far the boat would have traveled downstream in 2 hours at a speed of 6 mph?

OpenStudy (anonymous):

no im dumb lol

OpenStudy (pfenn1):

Are you supposed to write an equation on how far the boat traveled or are you supposed to determine the speed of the boat in calm water and the speed of the stream current?

OpenStudy (anonymous):

Write an equation to determine how many miles from the campsite the camper travled

OpenStudy (pfenn1):

Okay. Forget the x and y thing I was saying above. The distance the boat traveled downstream can be calculated by the speed downstream (6 mph) multiplied by the time the boat traveled downstream(2 hours). Can you write that equation?

OpenStudy (anonymous):

D=6x*T=2

OpenStudy (anonymous):

idk

OpenStudy (anonymous):

do u know how to lol

OpenStudy (pfenn1):

Close. Distance = speed X time. Distance traveled downstream = 6 mph X 2 hour = ? So what would the equation be for the distance traveled upstream?

OpenStudy (anonymous):

D=speed*time D=2mph*8hrs

OpenStudy (anonymous):

rite?

OpenStudy (pfenn1):

Right, except the time is 6 hours....I assume that you just wrote that wrong. So the equation that would give the total distance that the camper traveled would be given by: Total distance=distance traveled downstream plus distance traveled upstream/ Can you write that equation?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

soo; 8hrs=6miles+2mph

OpenStudy (pfenn1):

Total distance traveled = (speed traveled downstream) X (time traveled downstream) + (speed traveled upstream) X (time traveled upstream)

OpenStudy (anonymous):

so im correct

OpenStudy (anonymous):

TDT=6mph*8hrs+2mph*8hrs

OpenStudy (pfenn1):

\[D=2{ hr} \times 6{ mph} + 6 hr \times 2 mph \]

OpenStudy (anonymous):

Part B what is the total distance the camper travled?

OpenStudy (anonymous):

24m miles travled

OpenStudy (pfenn1):

The total distance traveled is given by the equation we developed. So, just solve the equation.\[D=2(6)+6(2)=?\]

OpenStudy (pfenn1):

Right.

OpenStudy (anonymous):

tnx

OpenStudy (pfenn1):

You're welcome.

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