SOLUTION: In a certain number of hours a woman traveled 5 km. If she had traveled 2 km more per hour, it would have taken her 3 h less to make the journey. How many kilometers did she travel
Question 1105126: In a certain number of hours a woman traveled 5 km. If she had traveled 2 km more per hour, it would have taken her 3 h less to make the journey. How many kilometers did she travel per hour? (Keep three significant digits.) Found 2 solutions by josmiceli, ikleyn:Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website! Let = her normal speed in km/hr
Let = her normal time in hrs
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and
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use quadratic formula
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She normally traveled 1.0817 km/hr
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close enough!
check the math and get another
opinion if needed
Your "time" equation is
- = 3 hours,
where x i the woman's normal rate of walking, in km/h.
Solve for x.
5*(x+2) - 5x = 3x*(x+2)
5x + 10 - 5x = 3x^2 + 6x,
3x^2 + 6x - 10 = 0 ====>
= = .
Only positive root makes sense = = 1.0817 km/h.