Rational Equations word problem

Question

Ben takes 3 hours to wash 270 dishes, and Frank takes 4 hours to wash 444 dishes. How long will they take, working together, to wash 4800 dishes?

It will take Ben and Frank_________ hours_______minutes  to wash 4800 dishes together.

Answer 1

Ben: ^{270 dishes} / _{3 hours} = 90 ^dishes / _hr

Frank: ^{444 dishes} / _{4 hours} = 111 ^dishes / _hr

 

90 + 111 = 201 ^dishes / _hr

So your equation to solve looks like:

201 ^dishes / _hr  x = 4800 dishes

 

Divide both sides by 201 ^dishes / _hr and you'll have your answer.