the womens 4 by 100 meter medley relay swimming team finished in second place. In the relay, each member swims 100 meters using a different swimming stroke. The names and ages of the team members are jenny,19, annie,20 asia,22, and destiny,39.
The age difference between the oldest and youngest swimmer on this team is 20 years. Suppose they had broken up the distance of 400 meters by age. how far would each person swim in the relay?
broken up how? If the distance swum is proportional to the age, then since the sum of the ages is 100,
Jenny would swim 19/100 of the 400m, or 19*4=76m
Annie: 20/100 * 400 = 80m
and so on
To determine how far each person would swim in the relay, we first need to calculate the age differences between the team members.
Given that the age difference between the oldest and youngest swimmer is 20 years, we can conclude that the age progression within the team is as follows:
Youngest swimmer (Jenny): 19 years old
Second youngest swimmer (Annie): 20 years old
Third youngest swimmer (Asia): 22 years old
Oldest swimmer (Destiny): 39 years old
Now, let's determine the distance each person would swim based on their age:
Jenny is the youngest, so she would swim the first leg of the relay, covering 100 meters.
Annie is the second youngest, so she would swim the second leg of the relay, also covering 100 meters.
Asia is the third youngest, so she would swim the third leg of the relay, covering another 100 meters.
Destiny is the oldest, so she would swim the fourth and final leg of the relay, covering the remaining 100 meters.
Therefore, each person would swim 100 meters in the relay.
To determine how far each person would swim in the relay when dividing the distance by age, we need to calculate the age fraction for each team member.
First, let's find the age difference between the oldest and youngest swimmer, which is given as 20 years. This tells us that Destiny, who is 39 years old, is the oldest, and the youngest member is 20 years younger. Therefore, the youngest member's age would be 39 - 20 = 19 years old.
Now, we can calculate the age fraction for each team member by dividing their age by the total age difference (20 years). This will give us the proportion of the distance they would swim.
Jenny: 19 / 20 = 0.95
Annie: 20 / 20 = 1
Asia: 22 / 20 = 1.1
Destiny: 39 / 20 = 1.95
Since the sum of these fractions is equal to 4 (the total distance required in a medley relay), we can distribute the distance proportionately.
Jenny: 0.95 * 100 meters = 95 meters
Annie: 1 * 100 meters = 100 meters
Asia: 1.1 * 100 meters = 110 meters
Destiny: 1.95 * 100 meters = 195 meters
Therefore, Jenny would swim 95 meters, Annie would swim 100 meters, Asia would swim 110 meters, and Destiny would swim 195 meters in the relay.