Question

If you can answer question number 2 I appreciate it if you can’t that’s okay, but when you answer the question please do a long explanation and a short explanation. also when you answer the questions no decimals and when you answer the question please put. Example: question 1 then put the answer same for question 2

Answer 1

Given that,

The time taken by each girl in the race is given by,

Barbara:

`=3(3)/(10)\text{ minutes}`

Donna:

`=2(4)/(5)\text{ minutes}`

Cindy:

`=x\text{ minutes}`

Nicole

`2(1)/(10)\text{ minutes}`

1) Each girl ran one part of the race.

Total time taken is,

`\begin{gathered} 11(3)/(5)\text{ minutes} \\ \end{gathered}`

we get that,

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

`(33)/(10)+(14)/(5)+x+(21)/(10)=(58)/(5)`

`(33+(14*2)+21)/(10)+x=(58)/(5)`

`(33+28+21)/(10)+x=(58)/(5)`

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

`x=(58)/(5)-(82)/(10)`

Taking LCM of 5,10. LCM of 5,10 is 10

we get,

`x=(58*2-82)/(10)`

`x=(116-82)/(10)`

`x=(34)/(10)`

`x=(17)/(5)`

`x=3(2)/(5)`

we get,

`x=3(2)/(5)\text{ minutes}`

Cindy takes 3 2/5 minutes.

2) To find the difference between fastest girl's time and slowest girl's time

Nicole is the fastest girl since her race time is 21/10 minutes

Cindy is the slowest girl with the race time 34/10 minutes

Difference between them is,

`=(34)/(10)-(21)/(10)`
`=(13)/(10)`
`=1(3)/(10)\text{ minutes}`

Difference is 1 3/10 minutes.

Answer is: 1 3/10 minutes.