Tiana can clear a football field of debris in 3 hours. Jacob can clear the same


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Tiana can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. If they decide to clear the field together, how long will it take them?

Oct 1st, 2015

Thank you for the opportunity to help you with your question!

Let:

r1=Tianas work rate

r2=Jacobs work rate

t1=Tianas time

t2 =Jacobs time

Meaning

r1t1=r2t2

or

3r1=2r2

Let T be the time they need to clear the field when working together

(r1+r2)T=3r1=2r2

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 1st, 2015

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