Mathematics
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OpenStudy (anonymous):
Randy is driving 4 miles per hour faster than Sandy and if they are 287 miles apart
after 3.5 hours then how fast is Sandy driving?
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OpenStudy (amistre64):
287/4 should get you randys starting point
OpenStudy (amistre64):
287/3.5
OpenStudy (anonymous):
i set it up as
287=3.5S + 3.5R
R=S+4
(R being randys speed, S being sandys speed)
OpenStudy (amistre64):
speed randy (time) + speed sandy (time) = 287
OpenStudy (amistre64):
good good
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OpenStudy (anonymous):
and i got 39 for S
but thats not one of my options
OpenStudy (anonymous):
idk what i did wrong
OpenStudy (amistre64):
287 = (s+4)(3.5) + 3.5s
287 = 3.5s +3.5s + 14
287-14 = 7s
273 = 7s
273/7 = s
39 = s
OpenStudy (amistre64):
maybe its a bad model :)
OpenStudy (amistre64):
randy would be going 43 and sandy 39 right?
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OpenStudy (anonymous):
thats what i figured
OpenStudy (amistre64):
maybe it changes if they are starting from the same spot
OpenStudy (anonymous):
my options are
51
56
61
66
71
OpenStudy (amistre64):
randy - Sally = 287
OpenStudy (amistre64):
(3.5s + 14) - (3.5s) = 287 ?
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OpenStudy (anonymous):
its 39! :(
OpenStudy (anonymous):
actually i got 0 when i did it again
OpenStudy (amistre64):
lol try randy-287 = sally
OpenStudy (amistre64):
nope
OpenStudy (anonymous):
GAHHHH my teacher sucks
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OpenStudy (amistre64):
distance = speed (time) right?
OpenStudy (anonymous):
yes
btw the last question you helped me with..the pools..i was looking at the wrong answer options..it wasnt 61
OpenStudy (amistre64):
ohhhh...was that the one with 7.1 radius
OpenStudy (anonymous):
yes
im just gonna yell at my teacher and tell him he gave me a faulty question
OpenStudy (amistre64):
I get:
Dr = Ds + 287 but dunno if its gonna work :)
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OpenStudy (amistre64):
(s+4)(3.5) = s(3.5) + 287
OpenStudy (anonymous):
got 0
OpenStudy (amistre64):
if they start at different points and travel towards each other, but thats not in the question
OpenStudy (anonymous):
right they are from the same point and driving away from each other
OpenStudy (amistre64):
away from each other?
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OpenStudy (anonymous):
yeah
OpenStudy (amistre64):
thenDr + Ds = 287 if thats the case
7s +14 = 287
7(s+2) = 287
i still get 39
OpenStudy (anonymous):
:(
OpenStudy (anonymous):
this class is ridiculous these are like impossible problems and i still have a whole other set of problems to start
OpenStudy (amistre64):
if sally is not moving, does that change the dynamics of our problem?
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OpenStudy (anonymous):
yeah cuz then she would have no speed
OpenStudy (anonymous):
and therefore would have no distance
OpenStudy (amistre64):
think of it like this maybe....in one hour, randy if 4 miles farther.....
OpenStudy (amistre64):
randy, at the end of 3.5 hours is 14 miles farther than sally
OpenStudy (anonymous):
that wouldnt change the equation for sally's speed though..
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OpenStudy (amistre64):
they have traveled a distance of 273 miles if they were traveling the same speed right?
OpenStudy (anonymous):
no because when we substitute R in for S+4 they arent
OpenStudy (anonymous):
and the question says they are travleing different speeds
OpenStudy (amistre64):
randy is 14 miles further than sally at 3.5 hours right?
OpenStudy (anonymous):
yeah
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OpenStudy (amistre64):
so 287 - 14 = the distance traveled by Sally in 3.5 hours right?
273 in 3.5 hours?
OpenStudy (amistre64):
speed equals distance/time
OpenStudy (amistre64):
that gives me 78 mph..... but its closer :)
OpenStudy (anonymous):
hahah and still not an option
OpenStudy (anonymous):
I am giving up for tonight, thank you for all your help
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OpenStudy (anonymous):
:)
OpenStudy (amistre64):
Gnite :)