CE 111-
BASIC CE MATH
Lesson 9
Algebra
Work-Related Problems
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Algebra: Work-Related Problems and Rates, Lecture notes of Mathematics
Examples and solutions for algebra problems related to work and rates, including digit-related problems and teamwork scenarios. Students will learn how to determine the time to finish a job, the rate of doing the job, and the amount of work done by individuals or teams with different rates.
Typology: Lecture notes
2021/2022
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CE 111-
BASIC CE MATH
Lesson 9 Algebra Work-Related Problems
LECTURE
OBJECTIVES
The primary objective of this lecture is to learn about verbal problems in algebra.
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ALGEBRA
For example: Albert can finish a job in A days Bryan can finish the same job in B days Carlo can undo the job in C days
ALGEBRA
1/A = rate of Albert 1/B = rate of Bryan -1/C = rate of Carlo
Albert and Bryan work together until the job is done:
Albert is doing the job while Carlo is undoing it until the job is done:
−^
= 1
ALGEBRA
If a job can be done by 10 workers in 5 hours, the workload is 10(5) = 50 man-hours.
If 4 workers is doing the job for 6 hours, the work done is 4(6) = 24 man-hours.
A remaining of 50 - 24 = 26 man-hours of work still needs to be done.
ALGEBRA
Example: Eleven men could finish the job in 15 days. Five men started the job, and four men were added at the beginning of the sixth day. How many days will it take them to finish the job?
Solution:
ANSWERS:
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ANSWERS:
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