SOLUTION: during a recent trip jackie travelled 62km. part of it was on a congested highway. the total trip took 2 hours, of which 1.25h were spent in congestion. Find her speed in the conge

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Question 1094506: during a recent trip jackie travelled 62km. part of it was on a congested highway. the total trip took 2 hours, of which 1.25h were spent in congestion. Find her speed in the congested highway if she travelled 40 km/h faster on the highway that was not congested
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
                  SPEED      TIME      DISTANCE

CONGESTED         r          1.25

FASTER           r+40        0.75

Total                        2          62


r%2A%285%2F4%29%2B%283%2F4%29%28r%2B40%29=62

highlight_green%28%285%2F4%29r%2B%283%2F4%29%28r%2B40%29=62%29------simplify and solve for r.

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!
during a recent trip jackie travelled 62km. part of it was on a congested highway. the total trip took 2 hours, of which 1.25h were spent in congestion. Find her speed in the congested highway if she travelled 40 km/h faster on the highway that was not congested
With S being the average speed on congested highway, we get the following DISTANCE equation: 1.25S + .75(S + 40) = 62

1.25S + .75S + 30 = 62

2S = 32

S, or speed on congested highway is: highlight_green%28matrix%281%2C4%2C+32%2F2%2C+%22=%22%2C+16%2C+%22km%2Fh%22%29%29

That's all! Nothing COMPLEX and/or CONFUSING!

Never, ever make problems like these more COMPLEX than they are by converting the given decimals to fractions, like the other person did.

Most people do not like to work with fractions so I'd advise you to stay away from them. 

If you wish to convert the decimals, my advice would be to convert to WHOLE NUMBERS/INTEGERS, although this problem doesn't need any 

conversions because as is obvious, 1.25S + .75S totals 2S. This is RIDICULOUS!!