Question

PLEASE HELP!! I do not understand how to try to solve this!!

Fractions

Barbara, Donna, Cindy and Nicole ran in a relay race. Their times are listed in the chart below
Barbara - 3 3/10
Donna- 2 4/5
Cindy- x
Nicole- 2 1/10

Question- The four girls ran in a relay race as a team. Each girl ran one part of the race. The teams total time was 11 3/5 minutes. What was Cindy's time?

Please help, I can't figure out how to solve this correctly.

Answer 1

Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.

Explanation:

To find Cindy's time, we need to use the information given about the total time and the times of the other three runners.

Let's first convert all the times to fractions of a minute:

Barbara: 3 3/10 = 3 + 3/10 = 3.3 minutes

Donna: 2 4/5 = 2 + 4/5 = 2.8 minutes

Cindy: x minutes

Nicole: 2 1/10 = 2 + 1/10 = 2.1 minutes

Now, we can set up an equation to represent the total time of the team:

Barbara's time + Donna's time + Cindy's time + Nicole's time = 11 3/5 minutes

Substituting the values we know:

3.3 + 2.8 + x + 2.1 = 11 3/5

Simplifying and converting mixed numbers to fractions:

8/5 + 14/5 + x + 11/5 = 116/10 + 3/5

Multiplying both sides by 10 to eliminate the denominators:

16 + 28 + 10x + 22 = 116 + 6

Simplifying:

10x = 54

Dividing by 10:

x = 5.4

Therefore, Cindy's time was 5 2/5 minutes, or 5.4 minutes to the nearest tenth.