Word Problem

May 2010
1
0
Jack, Kay, and Lynn deliver flyers. If alone Jack takes 4 hours, and Lynn takes 1 hour longer than Kay. Together they can deliver in 40% of the time it takes Kay working alone. *How long does it take Kay to deliver all the flyers alone?
 

skeeter

MHF Helper
Jun 2008
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North Texas
Jack, Kay, and Lynn deliver flyers. If alone Jack takes 4 hours, and Lynn takes 1 hour longer than Kay. Together they can deliver in 40% of the time it takes Kay working alone. *How long does it take Kay to deliver all the flyers alone?
jack's rate = (1 job)/(4 hrs)

kay's rate = (1 job)/(k hrs)

lynn's rate = (1 job)/(k+1 hrs)

\(\displaystyle \left(\frac{1}{4} + \frac{1}{k} + \frac{1}{k+1}\right) = \frac{2}{5k}\)

solve for k