anonymous
  • 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.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
(x+4)\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }+1\] x is the rate at which B is travelling (ie. xkm/h)
anonymous
  • anonymous
There SOLVE FOR x
anonymous
  • anonymous
Wait it's incorrect for some reason. I made a mistake.

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anonymous
  • anonymous
Tried solving it, but nothing came out.
anonymous
  • 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
anonymous
  • anonymous
That's the problem.
anonymous
  • anonymous
which has NO real SOLUTION
anonymous
  • anonymous
It is should be 120/(x+4) =120/x -1
anonymous
  • anonymous
Beacuse A takes 1 hour less than B
anonymous
  • anonymous
|dw:1358852927217:dw|
anonymous
  • anonymous
U need to solve it
anonymous
  • anonymous
Yeah. A bit of confusion but we got there.
anonymous
  • anonymous
x is a imaginary number.
anonymous
  • anonymous
No. Read suarav's post.
anonymous
  • anonymous
it's not +1 it's -1
anonymous
  • anonymous
-2 + 21.82i or -2-21.82i
anonymous
  • anonymous
\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }-1\]
anonymous
  • anonymous
I previously wrote +1
anonymous
  • anonymous
instead of -1
anonymous
  • anonymous
oh really sorry, I have a mistake. x=24.
anonymous
  • anonymous
That's incorrect still. Try again.
anonymous
  • anonymous
really?? . so, x=20, right??? Don't tell me it's still incorect ..:(
anonymous
  • anonymous
Correct. Well done.

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