He is left with [tex]13\frac{13}{15}[/tex] minutes for the last problem
Step-by-step explanation:
Given
Total time = 30 minutes
Time spent on problem 1: [tex]10\frac{1}{3}[/tex] minutes
Time spent on problem 2: [tex]5\frac{4}{5}[/tex] minutes
First of all, we will calculate the total time for 2 problems
[tex]Time\ for\ two\ problems = 10\frac{1}{3}+5\frac{4}{5}\\= \frac{31}{3} + \frac{29}{5}\\= \frac{155+87}{15}\\=\frac{242}{15}[/tex]
The remaining time is:
[tex]Time\ for\ problem\ 3 = Total\ time - Time\ for\ two\ problems\\= 30 - \frac{242}{15}\\= \frac{450-242}{15}\\=\frac{208}{15}\\= 13\frac{13}{15}[/tex]
Hence,
He is left with [tex]13\frac{13}{15}[/tex] minutes for the last problem
Keywords: Fractions, mixed fractions
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