Two boats leave a port at the same time, one going north and other traveling south. The northbound boat travles 16 mph faster than the southbound boat. If the southbound boat is traveling at 47 mph, how long will it be before they are 1430 miles apart?
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OpenStudy (anonymous):
r u in geometry
OpenStudy (anonymous):
No i am im in elementry algerbra
OpenStudy (anonymous):
can you help me with this, its a little confusing
OpenStudy (anonymous):
i know i have tried to solve it many times let me keep trying
OpenStudy (anonymous):
r u still there
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OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
i have the answer
OpenStudy (anonymous):
Yeah I am here sorry, How did you do it?
OpenStudy (anonymous):
okay so the first thing you want to do is compare the two and make a relationship
OpenStudy (anonymous):
there are two things that the boats have in common the the rate unit and the distance right
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OpenStudy (anonymous):
Right!
OpenStudy (anonymous):
so the formula that ties speed, time, and distance is d=st
OpenStudy (anonymous):
right
OpenStudy (anonymous):
distance = speed times time
OpenStudy (anonymous):
yeah, I forgot to put the formula
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OpenStudy (anonymous):
time can also be represented as a rate in this case we have mph
OpenStudy (anonymous):
Okay so would you now set the equation up
OpenStudy (anonymous):
therefore it would be appropriate to say distance= speed times rate
OpenStudy (anonymous):
so one boat is going x mph the other boat is going 16+x
OpenStudy (anonymous):
x=47
and 16+47 is 63
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OpenStudy (anonymous):
the only thing that ties these two boats together is the distance so we can assume the equation will be equal to 1430 or the distance
OpenStudy (anonymous):
right
OpenStudy (anonymous):
Yes that true!
OpenStudy (anonymous):
the other side would be related because it shares a common unit the rate or mph
OpenStudy (anonymous):
therefore 1430=rt+rt
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OpenStudy (anonymous):
the rates are 63 mph and 47 mph
OpenStudy (anonymous):
t = time
OpenStudy (anonymous):
so the final equation looks like 1430=63t+ 47t
OpenStudy (anonymous):
1430=110t
OpenStudy (anonymous):
1430/110=t
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OpenStudy (anonymous):
Its would be 13!
OpenStudy (anonymous):
Thanks Dude!
OpenStudy (anonymous):
it would be 13 hours
OpenStudy (anonymous):
yes, your welcome if you have any other questions i can help
OpenStudy (anonymous):
Okay Well that was my last problem though But if I have anymore question I will ask away!