MHB Algebra word problem: the angle between the hands of a clock

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The discussion focuses on determining the specific time between 2 and 3 o'clock when the angle formed by the clock's hands is bisected by a line from the center to the 3 o'clock mark. The key unknown in this problem is the number of minutes after 2 o'clock, denoted as x. Participants seek clarification on how to rephrase the question for better understanding. The problem involves calculating the angle between the hour and minute hands at a given time. Understanding this concept is essential for solving the algebraic word problem effectively.
bergausstein
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1. What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?

can you rephrase for me the question. what's the unknown here? please help thanks!
 
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Re: Algebra word problem.

bergausstein said:
1. What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?

can you rephrase for me the question. what's the unknown here? please help thanks!

View attachment 1661

The unknown is the number of minutes x after 2 o'clock.
 

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Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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