Question

Use the information in the charts to answer the questions.Barbara, Donna, Cindy, and Nicole ran in a relay race. Their times are listedin the chart below.STUDENT TIME ( MINUTES)BARBARA 3 /10DONNA 2 4/5CINDY 3 2/5NICOLE 2 1/10The four girls ran in a relay race as a team. Each girl ran one part ofthe race. The team’s total time was11 3/5minutes. What was Cindy’stime?

Answer 1

Hello there. To solve this question, we'll have to remember some properties about mixed fractions.

Given that Barbara times is 3/10, Donna is 2 4/5, and Nicole 2 1/10, knowing the team's total was 11 3/5, we have to determine Cindy's time.

Supposing Cindy's time is x minutes, then we have the following equation:

`(3)/(10)+2(4)/(5)+2(1)/(10)+x=11(3)/(5)`

Remember a mixed fraction is a fraction such that

Therefore we have

`(3)/(10)+2+(4)/(5)+3+(2)/(5)+2+(1)/(10)+x=11+(3)/(5)`

And this gives us

`(86)/(10)+x=(58)/(5)`

Subtract 86/10 on both sides of the equation

`x=(58)/(5)-(86)/(10)=(116)/(10)-(86)/(10)=(30)/(10)=3`

So Cindy's time was 3 minutes.