Algebra Math Equation!!!?

So If Dan eats a pizza in 2 hours, Alex eats a pizza in 3 hours and Richard eats a pizza in 6 hours. How long would it take to finish a pizza if they all ate together?? HELP ME PLEASE!! Thank You!

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  • 5 years ago
    Favorite Answer

    Dan eats 1/2 pizza per hour, Alex eats 1/3 pizza per hour, Richard eats 1/6 pizza per hour.

    Together they eat (1/2 + 1/3 + 1/6) pizza per hour. Add those fractions and see what you get.

  • sepia
    Lv 7
    5 years ago

    1 hour

  • 5 years ago

    Dan eats a pizza in 2 hours, Alex eats a pizza in 3 hours

    and Richard eats a pizza in 6 hours.

    How long would it take to finish a pizza if they all ate together?

    1/2 + 1/3 + 1/6 = 1/x

    x = 1

    It will take one hour if they all eat together.

  • 5 years ago

    lf they're all eating the same pizza, then each person gets 1/3 of the pizza. So you take each person's eating time and find 1/3 of that time. So 1/3 of 2 (1/3 multiplied by 2) is 2/3. So that means Dan eats the pizza in 40 minutes (I got that because 2/3 of an hour is 40 minutes). Alex eats his cut of the pizza in 1 hour and Richard eats his cut of the pizza in 2 hours. Combine those all together and get 3 hours and 40 minutes.

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  • Mike G
    Lv 7
    5 years ago

    t/6+t/3+t/2 = 1

    t/6+2t/6+3t/6 = 1

    t = 1 hour

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