Over the course of four weeks Mia spent 35 1/2 hours training for a race. Michael spent 1 1/2 times that amount training for the same race. How many hours did Michael spend training?
Answer: \(53\frac{1}{4}\text{ hours}\)
Step-by-step explanation:
Hours spent by Mia for a race=\(35\frac{1}{2}\text{ hours}=\frac{71}{2}\text{ hours}\)
Since Michael spent \(1\frac{1}{2}\) times that amount training for the same race.
Thus, Hours spent by Micheal on training= \(1\frac{1}{2}\times\frac{71}{2}\)
\(=\frac{3}{2}\times{71}{2}\\\\=\frac{213}{4}\\\\=53\frac{1}{4}\text{ hours}\)
Hence, Micheal spent \(53\frac{1}{4}\text{ hours}\) on training.