SOLUTION: After making a trip of (26 km, Christina found that if she had increased her average speed by 8 km per hour. she could have made the trip in one hour less time. Find Christina's o

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Question 1187189: After making a trip of (26 km, Christina found that if she had increased her average speed by 8 km
per hour. she could have made the trip in one hour less time. Find Christina's original rate.
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


I don't know how far "(26" km is....

Re-post, showing the required information clearly.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Each way of the trip would be 26 km.
r, the original speed
r+8, the not-done higher speed

Time difference would have been 1 hour.
highlight_green%2826%2Fr-26%2F%28r%2B8%29=1%29
Simplify and solve.
.
.
r%5E2%2B8r-208

Gen. Soln. Quadratic Eq.
r=%28-8%2Bsqrt%28896%29%29%2F2

r=-4%2Bsqrt%28224%29-------(approximately 11; but check to see if this makes sense in the original equation.