rational equation problem

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

working alone, Angie can process the payroll in 5 hours while Pam can finish the job in 6 hours. How long would it take Pam and Angie to do the job together

Apr 29th, 2015

Let the time taken be 'x' hours.

Angie can process the payroll in 5 hours. so in x hours, she can process x/5 of the payroll

Pam can process the payroll in 6 hours. so in x hours, Pam can process x/6 of the payroll

The fraction that Angie process the payroll  in x hours +The fraction that Pam process the payroll  in x hours = 1 payroll processed

x/5 + x/6 =1

11x/30 =1

11x=30

x =30/11

   =2.72 hours

Please let me know if you have any other questions and best me if you are satisfactory.

   

Apr 29th, 2015

One pipe can fill a tank three times as fast as another. When both pipes are used, it takes 1.5 hours to fill the tank. How long does it take each pipe alone?

Apr 29th, 2015

Pete can do a job in 4 hours less than Sam can. Working together, they can complete the job in 16 hours. How long would it take each working alone? Round your answer to the nearest thenth of an hour

Apr 29th, 2015

Please post these questions separately in a  new question and invite me to answer the same

Apr 29th, 2015

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