Question

A carpenter can install 8 sheets of drywall in 10 minutes. At this rate, how long does it take to install one sheet of drywall? How long will it take the carpenter to install 60 sheets?

A) 1.25 minutes; 1.25 hours
Eliminate
B) 1.5 minutes; 1.5 hours
C) 2 minutes; 2 hours
D) 2.5 minutes; 2.5 hours

Answer 1

I got A. 1.25 minutes; 1.25 hours. Hope that helps!

Answer 2

Find out the how long does it take to install one sheet of drywall .

To prove

As given

A carpenter can install 8 sheets of drywall in 10 minutes.

8 sheets = 10 mintues

Now

`Time\ taken\ for\ installing\ one\ sheet\ of\ drywall = (Total\ time\ taken\ to\ install\ sheets)/(Total\ sheets)`

`Time\ taken\ for\ installing\ one\ sheet\ of\ drywall = (10)/(8)`

Time taken for installing one sheets of drywall = 1.25 mintues.

Now Find out how long will it take the carpenter to install 60 sheets .

To prove

As given

A carpenter can install 8 sheets of drywall in 10 minutes.

8 sheets = 10 mintues

`1\ sheet\ time = (10)/(8)\ mintues`

Now for 60 sheets.

`60\ sheet\ time = (10* 60)/(8)\ mintues`

`60\ sheet\ time = (600)/(8)\ mintues`

`60\ sheet\ time = 75\ mintues`

As 1 hour = 60 mintues

`1\ mintues = (1)/(60)\ hours`

Now convert 75 mintues into the hours.

`Time\ taken\ for\ installing\ 60\ sheets = (75)/(60) \ hours`

Time taken for installing 60 sheets = 1.25 hours.

Therefore the option (A) is correct.

Thus 1.25 minutes take to install one sheet of drywall and 1.25 hours take the carpenter to install 60 sheets .