Question

Jose and Jenna competed in a bike race. After 30 minutes, Jose had finished 2/3 of the race and Jenna had finished 7/12 of the race. Who had finished more of the race?

Answer 1

Jose finished more of the race.

Step-by-step explanation:

We are told that Jose and Jenna competed in a bike race.

After 30 minutes, Jose had finished 2/3 of the race. Let us find what percent of race Jose has finished.

`\text{Percentage of race finished by Jose in 30 minutes}=(2)/(3)* 100`

`\text{Percentage of race finished by Jose in 30 minutes}=0.6666666666666667* 100`

`\text{Percentage of race finished by Jose in 30 minutes}=66.66666666666667`

Therefore, Jose finished 66.67% of the race in 30 minutes.

We are told that Jenna had finished 7/12 of the race in 30 minutes.

Now let us find what percent of race finished by Jenna in 30 minutes.

`\text{Percentage of race finished by Jenna in 30 minutes}=(7)/(12)* 100`

`\text{Percentage of race finished by Jenna in 30 minutes}=0.5833333333333333* 100`

`\text{Percentage of race finished by Jenna in 30 minutes}=58.33333333333333`

Therefore, Jenna finished 58.33% of race in 30 minutes.

Clearly 66.67% is greater than 58.33%, therefore, Jose finished more of the race in 30 minutes.