Question:
Instructions: The following pie chart shows the hourly distribution in a day (in degrees) of all the major activities of a student. A day has 24 hours. The pie chart shows: Games 30°, Home work 45°, School 105°, Sleeping 120°, Others 60° (total 360°).
What is the difference in time (in hours) spent in school and in home work?
Instructions: The following pie chart shows the hourly distribution in a day (in degrees) of all the major activities of a student. A day has 24 hours. The pie chart shows: Games 30°, Home work 45°, School 105°, Sleeping 120°, Others 60° (total 360°).
What is the difference in time (in hours) spent in school and in home work?
What is the difference in time (in hours) spent in school and in home work?
Show Hint
Each degree of the pie equals 24/360 = 1/15 of an hour; convert the 60° gap between School and Home work directly.
Updated On: Jul 15, 2026
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The Correct Option is C
Solution and Explanation
Step 1: Convert each angle to hours.
Since 360° represents 24 hours, each degree represents \(\dfrac{24}{360}=\dfrac{1}{15}\) hour. School \(=105° \times \dfrac{24}{360}=7\) hours. Home work \(=45° \times \dfrac{24}{360}=3\) hours.
Step 2: Find the difference.
Difference \(=7-3=4\) hours.
Step 3: Final Answer.
The difference is 4 hours, so option C is correct.
Since 360° represents 24 hours, each degree represents \(\dfrac{24}{360}=\dfrac{1}{15}\) hour. School \(=105° \times \dfrac{24}{360}=7\) hours. Home work \(=45° \times \dfrac{24}{360}=3\) hours.
Step 2: Find the difference.
Difference \(=7-3=4\) hours.
Step 3: Final Answer.
The difference is 4 hours, so option C is correct.
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