dhudz23
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.
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Azteck
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(x+4)\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }+1\]
x is the rate at which B is travelling (ie. xkm/h)
sauravshakya
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There SOLVE FOR x
Azteck
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Wait it's incorrect for some reason. I made a mistake.
Azteck
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Tried solving it, but nothing came out.
sauravshakya
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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
Azteck
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That's the problem.
sauravshakya
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which has NO real SOLUTION
sauravshakya
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It is should be
120/(x+4) =120/x -1
sauravshakya
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Beacuse A takes 1 hour less than B
sauravshakya
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|dw:1358852927217:dw|
sauravshakya
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U need to solve it
Azteck
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Yeah. A bit of confusion but we got there.
higiraffe
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x is a imaginary number.
Azteck
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No. Read suarav's post.
Azteck
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it's not +1 it's -1
higiraffe
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-2 + 21.82i or -2-21.82i
Azteck
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\[\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }-1\]
Azteck
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I previously wrote +1
Azteck
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instead of -1
higiraffe
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oh really sorry, I have a mistake. x=24.
Azteck
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That's incorrect still. Try again.
higiraffe
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really?? . so, x=20, right??? Don't tell me it's still incorect ..:(
Azteck
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Correct. Well done.