## dhudz23 2 years ago 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.

1. Azteck

(x+4)$\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }+1$ x is the rate at which B is travelling (ie. xkm/h)

2. sauravshakya

There SOLVE FOR x

3. Azteck

Wait it's incorrect for some reason. I made a mistake.

4. Azteck

Tried solving it, but nothing came out.

5. sauravshakya

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

6. Azteck

That's the problem.

7. sauravshakya

which has NO real SOLUTION

8. sauravshakya

It is should be 120/(x+4) =120/x -1

9. sauravshakya

Beacuse A takes 1 hour less than B

10. sauravshakya

|dw:1358852927217:dw|

11. sauravshakya

U need to solve it

12. Azteck

Yeah. A bit of confusion but we got there.

13. higiraffe

x is a imaginary number.

14. Azteck

15. Azteck

it's not +1 it's -1

16. higiraffe

-2 + 21.82i or -2-21.82i

17. Azteck

$\frac{ 120 }{ x+4 }=\frac{ 120 }{ x }-1$

18. Azteck

I previously wrote +1

19. Azteck

20. higiraffe

oh really sorry, I have a mistake. x=24.

21. Azteck

That's incorrect still. Try again.

22. higiraffe

really?? . so, x=20, right??? Don't tell me it's still incorect ..:(

23. Azteck

Correct. Well done.