Question

Tess ran 4 3 3 4 ​ start fraction, 4, divided by, 3, end fraction kilometers each day for 2 22 days. Cam ran 2 3 3 2 ​ start fraction, 2, divided by, 3, end fraction of a kilometer each day for 5 55 days. Who ran more kilometers in total? Choose 1 answer: Choose 1 answer: (Choice A) A Tess (Choice B) B Cam (Choice C) C They ran the same number of total kilometers. Stuck

Answer 1

We have been given that Tess ran $\frac{4}{3}$ kilo-meters each day for 2 days.

Let us find total distance traveled by Tess in 2 days by multiplying $\frac{4}{3}$ by 2 as:

$\text{Distance traveled by Tess in 2 days }=\frac{4}{3}\times 2$

$\text{Distance traveled by Tess in 2 days }=\frac{4\times 2}{3}$

$\text{Distance traveled by Tess in 2 days }=\frac{8}{3}$

We are also told that Cam ran  $\frac{2}{3}$ kilo-meters each day for 5 days.

Let us find total distance traveled by Cam in 5 days by multiplying $\frac{2}{3}$ by 5 as:

$\text{Distance traveled by Cam in 5 days }=\frac{2}{3}\times 5$

$\text{Distance traveled by Cam in 5 days }=\frac{2\times 5}{3}$

$\text{Distance traveled by Cam in 5 days }=\frac{10}{3}$

Since $\frac{10}{3}$ km is greater than $\frac{8}{3}$ km, therefore, Cam ran more kilo-meters in total and option B is the correct choice.