# 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!

Relevance
• 5 years ago

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.