SOLUTION: A craftman in a woodworking shop takes 45 minutes to produce 12 spice racks. how long, in hours, will it take him to produce 27 spice racks?

Question 351455: A craftman in a woodworking shop takes 45 minutes to produce 12 spice racks. how long, in hours, will it take him to produce 27 spice racks?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=time it takes, in hours, to produce 27 spice racks.
If it takes the craftsman 3/4 hr to produce 12 spice racks, then he can produce one spice rack in (3/4)*(1/12) hr or 3/48 hr. so he works at the rate of 3/48 hour per spice rack or 48/3 spice rack per hour
Sooo our equation to solve is:
(48/3)*x=27 or
48x=81
x=1.6875 hours
Check
If he produces 1 spice rack in 3/48 hr, then he produces 27 spice racks in (3/48)*27 hour or 81/48 hr
Hope this helps----ptaylor
RELATED QUESTIONS
It takes machine A twice as long to produce 10,000 bolts as it takes machine B. Together... (answered by richwmiller)

Brady needs to type a seven page essay. He can type two-thirds of a paper in 12 minutes.... (answered by stanbon)

Ming has a log 45 inches long. If it takes him 2 minutes to make one cut, how long will... (answered by josgarithmetic)

A horse can run 2 miles in 6 minutes. How long will it take him to run 10 miles (in... (answered by Edwin McCravy)

If it takes 2 men to do a job in 12 hours, how many men will it take to do the same job... (answered by ankor@dixie-net.com)

when leaves have fallen a girl can take the yard in entire 8 hours. when a boy does it... (answered by Alan3354)

You can do a job in 12 minutes and your friend takes 15 minutes. How long will it take... (answered by rwm)

If a man ran 60% of his run in 45 minutes, how long did it take him to run the other... (answered by edjones)

A gardener completes park maintenance in 12 hours. Another gardener takes 10 hours. How... (answered by richwmiller)