SOLUTION: if one clerk can do 75 pieces of mail in 2 1/2 hours how long will it take 8 clerks to do 1620 if they are working at the same rate? PLEASE HELPPPP CAN'T SOLVE IT :(

Question 301271: if one clerk can do 75 pieces of mail in 2 1/2 hours how long will it take 8 clerks to do 1620 if they are working at the same rate?
PLEASE HELPPPP CAN'T SOLVE IT :(
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
if one clerk can do 75 pieces of mail in 2 1/2 hours how long will it take 8 clerks to do 1620 if they are working at the same rate?
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Note: pieces handled and number of hours are directly related.
Hours and # of clerks are inversely related.
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# hrs = k[(# of pieces)/# of clerks]
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Solve for "k" using 75 pieces per 2 1/2 hrs with one clerk.
(2 1/2) = k(75/1)
(5/2) = 75k
(1/2) = 15k
k = 1/30
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Equation for this problem:
hrs = (1/30)(# pieces/# of clerks)
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how long will it take 8 clerks to do 1620 if working at the same rate?
hrs = (1/30)[1620/8]
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hrs = 6.75 hrs
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Cheers,
Stan H.
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