Question

Sandra is a swimmer for her local high school and also a club team. The high school coach wants her to swim 2 5/6 miles per week. The club team coach thinks it is better for her to swim 3 2/3 miles per week. Obviously, the club team coach thinks its more better. Sandra wants to look at how many miles that would be over a 8 week period.

Answer 1

Sandra's high school team requires her to swim 2 5/6 miles per week, while her club team recommends 3 2/3 miles per week. Over an 8-week period, she would swim 22.6667... miles with the high school team and 29.3333... miles with the club team. The club team coach's plan results in a higher total distance swum.

Step-by-step explanation:

Calculating Swimming Mileage Over Eight Weeks

To calculate how many miles Sandra would swim over an 8 week period for both her high school and her club team, we determine the weekly distance for each and then multiply by 8.

For the high school team, Sandra swims 2 5/6 miles per week. This converts to 2.8333... miles (since 5/6 is approximately 0.8333...).

For the club team, she swims 3 2/3 miles per week. This converts to 3.6667... miles (since 2/3 is approximately 0.6667...).

Over an 8 week period, Sandra would swim:

• High School Team: 2.8333... miles/week x 8 weeks = 22.6667... miles
• Club Team: 3.6667... miles/week x 8 weeks = 29.3333... miles

The club team coach's training plan has Sandra swimming a greater distance over the 8 week period.

Answer 2

Here, we have two coaches giving directions as to the best distance for Sandra to swim per week.

In the question, we are told that the club team coach has a better opinion.

So now, we want to calculate the total distance that Sandra will swim, given that he takes the opinion of the club team coach.

From the question, the club team coach wants a distance of 3 2/3 miles per week

So the total number of miles this will be in 8 weeks = 3 2/3 * 8

We need to write the mixed fraction as an improper fraction

Thus, we have 11/3 miles

Multiplying this by 8, we have 11/3 * 8 = 88/3 = 29 1/3 miles

That would be a distance of 29 1/3 miles in an eight week period