CE 111-
BASIC CE MATH
Lesson 7
Algebra
Clock-Related Problems
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Clock-Related Algebra Problems: Solving for Time, Lecture notes of Mathematics
Lecture objectives, examples, and solutions for algebra problems related to clock math. Students will learn how to determine time based on the position of the hour and minute hands, and will practice solving for the time when the hands are together or form angles. This resource is ideal for university students in mathematics or algebra courses.
Typology: Lecture notes
2021/2022
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CE 111-
BASIC CE MATH
Lesson 7 Algebra Clock-Related Problems
LECTURE
OBJECTIVES
The primary objective of this lecture is to learn about verbal problems in algebra.
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ALGEBRA
There are 12 dial units in the clock. Every time the minute hand completes 12 dials, the hour hand moves 1 dial. Thus, if the minute hand moves by the hour hand moves by ⁄ .
ALGEBRA
ALGEBRA
Example:
Between 3:00 and 4:00, Kathryn looked at her watch and noticed that the minute hand was between 5 and 6. Later, Kathryn looked again and noticed that the hour hand and the minute hand had exchanged places. What time was it in the second case?
ALGEBRA
Solution:
ALGEBRA
Example:
What time after 7:00 o’clock will the hands of a continuously driven clock are together?
ALGEBRA
Solution:
ALGEBRA
Solution:
ALGEBRA
Preferred Solution:
ANSWERS:
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ANSWERS:
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ANSWERS:
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ANSWERS:
ANSWER KEYS