Sammy had 30 minutes to do a three problem quiz. She spent 101/3 minutes on problem 1 and 54/5 minutes on problem 2. How much ti

Question

3 years ago

15

me did she have time for problem 3? Write your answer as a mixed number.

1 answer:

den301095 [7] · Answer 1 · 2022-03-14T23:26:13+03:00

He is left with $13\frac{13}{15}$ minutes for the last problem

Step-by-step explanation:

Given

Total time = 30 minutes

Time spent on problem 1: $10\frac{1}{3}$ minutes

Time spent on problem 2: $5\frac{4}{5}$ minutes

First of all, we will calculate the total time for 2 problems

$Time\ for\ two\ problems = 10\frac{1}{3}+5\frac{4}{5}\\= \frac{31}{3} + \frac{29}{5}\\= \frac{155+87}{15}\\=\frac{242}{15}$

The remaining time is:

$Time\ for\ problem\ 3 = Total\ time - Time\ for\ two\ problems\\= 30 - \frac{242}{15}\\= \frac{450-242}{15}\\=\frac{208}{15}\\= 13\frac{13}{15}$

Hence,

He is left with $13\frac{13}{15}$ minutes for the last problem

Keywords: Fractions, mixed fractions

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