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
`(4)/(3)` kilo-meters each day for 2 days.

Let us find total distance traveled by Tess in 2 days by multiplying
`(4)/(3)` by 2 as:

`\text{Distance traveled by Tess in 2 days }=(4)/(3)* 2`

`\text{Distance traveled by Tess in 2 days }=(4* 2)/(3)`

`\text{Distance traveled by Tess in 2 days }=(8)/(3)`

We are also told that Cam ran
`(2)/(3)` kilo-meters each day for 5 days.

Let us find total distance traveled by Cam in 5 days by multiplying
`(2)/(3)` by 5 as:

`\text{Distance traveled by Cam in 5 days }=(2)/(3)* 5`

`\text{Distance traveled by Cam in 5 days }=(2* 5)/(3)`

`\text{Distance traveled by Cam in 5 days }=(10)/(3)`

Since
`(10)/(3)` km is greater than
`(8)/(3)` km, therefore, Cam ran more kilo-meters in total and option B is the correct choice.