To find: The time taken by Kay to all the flyers alone.
Kay takes 3 hours to deliver all the flyers.
Jack takes 4 hours to deliver all the flyers. Lynn takes 1 hour longer than Kay.
They work together and deliver all the flyers in 40% of the time takes by Kay.
Let the time taken by Kay to deliver the flyers be x.
Tabulate the given information into the language of algebra.
|In words||In Algebra|
|Time taken by Kay||x hr|
|Time taken by Lynn||hr|
|Time taken by all of them||0.4x hr|
|Work done by Kay in 1 hr|
|Work done by Lynn in 1 hr|
|Work done by Jack in 1 hr|
|Work done by Jack, Kay and Lynn together|
Model the equation for the above information.
Simplify the above equation for x,
Factor the above equation for x,
Time cannot be negative. So Kay takes 3 hours to complete the work.
Thus, Kay takes 3 hours to deliver all the flyers.
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