Carrie : Jerry
2 : 5
Put this ratio in words, we say 'for every two hours Carrie takes to inspect a case, Jerry would need 5 hours'
Carrie has done 30 minutes on a case before taking a break. It means Carrie has 1.5 hours left on the case if she was to continue it.
We need to work out the proportion of the time Jerry would take in comparison to 1.5 hours that Carrie would have taken.
First, we divide 2 by 1.5 ⇒
Then we divide 5 by 4/3 ⇒ hours
Jerry would have taken 3.75 hours to finish the rest of the case
It will take Jerry 3 hr 45 minutes to complete the work.
Let Jerry takes x hours.
Carrie's rate = 1/2 case/hr
Jerry rate's = 1/5 case/h
We know that work done =rate x time
So, Carrie work + Jerry work = 1 job complete
x = 15/4 =
= 3 hr 45 minutes
Hence, it will take Jerry 3 hr 45 minutes to complete the work.