Concept explainers
Sharing a Job Jack, Kay, and Lynn deliver advertising flyers in a small town. If each person works alone, it takes Jack 4 h to deliver all the flyers, and it takes Lynn 1 h longer than it takes Kay. Working together, they can deliver all the flyers in 40% of the time it takes Kay working alone. How long does it take Kay to deliver all the flyers alone?
To find: The time taken by Kay to all the flyers alone.
Answer to Problem 66E
Kay takes 3 hours to deliver all the flyers.
Explanation of Solution
Given:
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.
Calculation:
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 |
|
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.
Chapter 1 Solutions
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