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Algebra

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You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?

I got to this point

xy=56
(x-8)(y+10)=56

I couldn't get any further than that. I'm not sure where to go with those equations.

  • Algebra - ,

    Ok, then x=56/y

    (56/y -8)*(y+10/60)=56
    multiply both sides by y.
    y(56/y -8)*(y+10/60)=56y
    (56 -8y)*(y+10/60)=56y
    FOIL that, and solve the quadratic for y. ONce you get that, you can solve for x.
    Note:
    The fraction 10/60 is important..the ten was in minutes, and it has to be converted to hours, as speed was given in km/hr (remember the units given for 8).

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