SOLUTION: Anna drives 45 km to work. If she increases her usual average speed by 5 km/h, the time it takes her to drive to to work is decreased by 6 minutes. Find her usual speed

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Question 1167532: Anna drives 45 km to work. If she increases her usual average speed by 5 km/h, the time it takes her to drive to to work is decreased by 6 minutes. Find her usual speed
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use and solve this "time" equation


    45%2Fx - 45%2F%28x%2B5%29 = 1%2F10  of an hour  (= 6 minutes).


It is equivalent to

    450%2Fx - 450%2F%28x%2B5%29 = 1     (1)


and has an obvious solution  x = 45.



CHECK.   450%2F45 - 450%2F%2845%2B5%29 = 450%2F45 - 450%2F50 = 10 - 9 = 1.    ! Correct !


Alternatively, you can reduce the equation (1) to quadratic equation and solve it formally.


Solved.