Question
Qucstion 6
To collect data on the signal strengths in a neighborhoed, Pamela must drive
fom house to house and take readings. She has a graduate student, Kevin,
to assist her. Pamela figures it would take her 12 hours to complete the task
working alone, and that it would take Kevin 20 hours it he completed the tas
by himself.
How long will it take Pamela and Kevin to complete the task together?
8.2 hours
7.5 hours
4.6 hours
5.5 houks
To collect data on the signal strengths in a neighborhoed, Pamela must drive
fom house to house and take readings. She has a graduate student, Kevin,
to assist her. Pamela figures it would take her 12 hours to complete the task
working alone, and that it would take Kevin 20 hours it he completed the tas
by himself.
How long will it take Pamela and Kevin to complete the task together?
8.2 hours
7.5 hours
4.6 hours
5.5 houks
Ask by Johnson Lee. in Germany
Dec 20,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
It will take Pamela and Kevin 7.5 hours to complete the task together.
Solution
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Beyond the Answer
When Pamela and Kevin work together, they can combine their rates of completing the task. Pamela’s rate is 1/12 of the job per hour (since she takes 12 hours), and Kevin’s rate is 1/20 of the job per hour. When you add their rates, you get:
(1/12 + 1/20) = (5/60 + 3/60) = 8/60 = 2/15
This means they complete 2/15 of the task per hour. To find out how long it takes them to finish the task together, you take the reciprocal of their combined rate:
Time = 1 / (2/15) = 15/2 = 7.5 hours.
So, they will take 7.5 hours to complete the task together!
Did you know that teamwork can dramatically speed up processes, especially in tasks that require a lot of effort? In real-world scenarios like Pamela and Kevin’s project, collaborating can lead to faster data collection and potentially more accurate results, as they can double-check readings and support each other. Plus, it makes for a more enjoyable day on the road!
If you’re fascinated by teamwork dynamics and efficiency, countless resources explore the power of collaboration in various fields. Books like “The Five Dysfunctions of a Team” by Patrick Lencioni can offer insight into building effective teams, while articles on productivity hacks often highlight how collaborative efforts can lead to innovative solutions and increased motivation.
