Respuesta :
The time spent on problem 3 is [tex]13\frac{13}{15} \text{ minutes }[/tex]
Solution:
Given that Sammy had 30 minutes to do a three problem quiz
To find: Remaining time left for problem 3
From given question,
Total time = 30 minutes
Time spent on problem 1 = [tex]10\frac{1}{3} \text{ minutes }[/tex]
[tex]\rightarrow 10\frac{1}{3} = \frac{3 \times 10 + 1}{3} = \frac{31}{3} \text{ minutes }[/tex]
Time spent on problem 2 = [tex]5\frac{4}{5} \text{ minutes }[/tex]
[tex]\rightarrow 5\frac{4}{5} = \frac{5 \times 5 + 4}{5} = \frac{29}{5} \text{ minutes }[/tex]
Therefore,
Time spent on problem 3 = total time - (time on problem 1 + time on problem 2)
[tex]\text{ Time spent on problem 3 } = 30 - (\frac{31}{3} + \frac{29}{5})\\\\\rightarrow 30 - \frac{31 \times 5 + 29 \times 3}{3 \times 5}\\\\\rightarrow 30 - \frac{242}{15}\\\\\rightarrow \frac{30 \times 15 - 242}{15}\\\\\rightarrow \frac{208}{15} = 13\frac{13}{15}[/tex]
Thus time spent on problem 3 is [tex]13\frac{13}{15} \text{ minutes }[/tex]
