SOLUTION: kimi and amy have two different delivery routes. Kimis route is 80km and amys route is 100km. amy travels 10km/h faster than kimi and finishes 10 min earlier. What is the speed of

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Question 1165299: kimi and amy have two different delivery routes. Kimis route is 80km and amys route is 100km. amy travels 10km/h faster than kimi and finishes 10 min earlier. What is the speed of each driver
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

Let x be the Kimi' speed.

Then the Amy' speed is (c+10) km/h.


Kimi's travel time is    hours.

Amy's travel time is    hours.


The difference of travel times is 10 minutes =  of an hour and Amy finishes earlier.


It gives this "time" equation

     -  =   of an hour.


It is your setup equation.


You can solve it algebraically, by multiplying both sides by 6x*(x+10), and

reducing then to the standard form quadratic equation.


But from the equation, I just see the solution mentally:  x = 30 km/h.


ANSWER.  Kimi's rate is 30 km/h;  Ami's rate is 40 km/h.


CHECK.  Kimi's travel time is   = 2  hours.

        Ami's travel time is   = 2  hours.

        The difference is   -  =  of an hour, as stated.

Solved.



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