Question

Carl and Joseph are recycling newspapers for a school project. They have collected 600 pounds of newspaper, which they must separate into 20-pound bales to take to the recycling center. Carl can make a bale in 15 minutes, and Joseph takes 10 minutes to make a bale. How many hours will it take them to put all the newspaper into bales if they work together?

Answer 1

It would take both Carl and Joseph 0.1 hours to complete the work.

Equation

An equation is an expression that shows the relationship between two or more numbers and variables.

Let t represent the amount of time in hours it would take them to finish the work.

For Carl, time = 15 minutes = 0.25 hr

For Joseph, time = 10 minutes = 0.167 hr

Hence:

[(1/0.25) + (1/0.167)]t = 1

t = 0.1 hr

It would take both Carl and Joseph 0.1 hours to complete the work.

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