# Math Help - Word Problem

1. ## Word Problem

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?

2. Originally Posted by Bsauer05
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)

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

solve for k