Carrie can inspect a case of watches in two hours. Jerry inspects a case in five hours. After inspecting a case for a half an hour, Carrie takes a break. In the mean time, Jerry takes over and completes the job, how long did this take him?

Respuesta :

Answer:

It will take Jerry 3 hr 45 minutes to complete the work.

Step-by-step explanation:

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

[tex]\frac{1}{4} +\frac{x}{5} =1[/tex]

[tex]\frac{5+4x}{20} =1[/tex]

[tex]5+4x=20[/tex]

[tex]4x =20-5[/tex]

[tex]4x=15[/tex]

x = 15/4 = [tex]3\frac{3}{4}[/tex]

= 3 hr 45 minutes

Hence, it will take Jerry 3 hr 45 minutes to complete the work.