IMC 2005 Q8
8. What fraction of a 24-hour day does school take up, if school starts at 8:30am and finishes at 3:15pm?
- A \(\dfrac{9}{32}\)
- B \(\dfrac{25}{96}\)
- C \(\dfrac{13}{48}\)
- D \(\dfrac{31}{96}\)
- E \(\dfrac{18}{32}\)
Intermediate Mathematical Challenge 2005, Question 8. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A \(\dfrac{9}{32}\)
The required fraction = \(\dfrac{6\frac{3}{4}}{24} = \dfrac{27}{96} = \dfrac{9}{32}\).
Solution © UK Mathematics Trust, from the IMC 2005 solutions.