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?

Question

The monthly salary for a person who follows the same expense pattern, but has a petrol expense of Rs 500 p.m., is:

Answer 1

Since both quantities need converting from degrees to hours, it is quicker to find the difference in degrees first and convert only once.

Difference in angle between School and Home work: $105° - 45° = 60°$.
Convert this angle directly to hours: $60° \times \frac{24}{360°} = \frac{60}{15} = 4$ hours.

This gives the same result as converting each separately and subtracting.

So the correct answer is option C, 4 hours.

Answer 2

Since both quantities need converting from degrees to hours, it is quicker to find the difference in degrees first and convert only once.

Difference in angle between School and Home work: $105° - 45° = 60°$.
Convert this angle directly to hours: $60° \times \frac{24}{360°} = \frac{60}{15} = 4$ hours.

This gives the same result as converting each separately and subtracting.

So the correct answer is option C, 4 hours.

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