Mathematics
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OpenStudy (anonymous):
Two cyclist A and B traveled the same distance of 120 kilometers. A traveled 4 kilometers per hour faster than B and covered the distance in one hour less than B. Find the rate of each.
13 years ago
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OpenStudy (anonymous):
(x+4)\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }+1\]
x is the rate at which B is travelling (ie. xkm/h)
13 years ago
OpenStudy (anonymous):
There SOLVE FOR x
13 years ago
OpenStudy (anonymous):
Wait it's incorrect for some reason. I made a mistake.
13 years ago
OpenStudy (anonymous):
Tried solving it, but nothing came out.
13 years ago
OpenStudy (anonymous):
120/(x+4) =120/x +1
120/(x+4) =(120+x)/x
120x =(120+x)(x+4)
120x =120x +480 +x^2 +4x
x^2 +4x +480 =0
13 years ago
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OpenStudy (anonymous):
That's the problem.
13 years ago
OpenStudy (anonymous):
which has NO real SOLUTION
13 years ago
OpenStudy (anonymous):
It is should be
120/(x+4) =120/x -1
13 years ago
OpenStudy (anonymous):
Beacuse A takes 1 hour less than B
13 years ago
OpenStudy (anonymous):
|dw:1358852927217:dw|
13 years ago
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OpenStudy (anonymous):
U need to solve it
13 years ago
OpenStudy (anonymous):
Yeah. A bit of confusion but we got there.
13 years ago
OpenStudy (anonymous):
x is a imaginary number.
13 years ago
OpenStudy (anonymous):
No. Read suarav's post.
13 years ago
OpenStudy (anonymous):
it's not +1 it's -1
13 years ago
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OpenStudy (anonymous):
-2 + 21.82i or -2-21.82i
13 years ago
OpenStudy (anonymous):
\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }-1\]
13 years ago
OpenStudy (anonymous):
I previously wrote +1
13 years ago
OpenStudy (anonymous):
instead of -1
13 years ago
OpenStudy (anonymous):
oh really sorry, I have a mistake. x=24.
13 years ago
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OpenStudy (anonymous):
That's incorrect still. Try again.
13 years ago
OpenStudy (anonymous):
really?? . so, x=20, right??? Don't tell me it's still incorect ..:(
13 years ago
OpenStudy (anonymous):
Correct. Well done.
13 years ago