Work Problems

If Jim Roller can paint a room in 3 hours while John Brush would take 4 hours, how long will they take if they work together?

1 5/7 hours

John can type 2/3 of a manuscript in 12 hours. How much of the manuscript can John write in 1 hour?

1/18

A cistern can be completely drained by a pipe in 6 hours. It can be filled by two pipes in 4 hours and 5 hours, respectively. How many hours will the empty cistern take to fill if all the pipes are running? If x is the time to fill it, which of the following equations could be used to solve for t?

15x + 12x - 10x = 60

An experienced plumber can do the finishing plumbing work on a house in 8 hours. An inexperienced plumber will take 12 hours to do the same job. If two experienced men and three inexperienced men work on an emergency finishing project, how many hours will they take to do the job?

2 hours

John can type 2/3 of a manuscript in 12 hours. If he is joined by Laura, they can complete the typing in 2 hours. How many hours would Laura take to type the manuscript working alone?

2.25 hours

One pipe can fill a tank in 24 minutes, a second can fill it in 8 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?

4 minutes

It take Mr. Branches 5 hours to rake the leaves. If his son joins him in the work, they can rake the leaves in 3 hours. How long would it take Mr. Branches's son to rake the leaves on his own?

7 1/2 hours

The Doe family is ready to fill their new swimming pool. It can be filled in 12 hours if they use their own water hose, and in 30 hours if they use Mr. Jones', their neighbor's water hose. How long will the Doe's take to fill their pool if the neighbor's hose is used along with their own?

8 4/7 hours

In a work problem, the number 1 represents the total amount of work.

True

Ted can mow the lawn in 5 minutes by using his power mower. Galen takes 15 minutes to mow the same lawn using a push-type mower. How many minutes would the job take if the two boys worked together? If t is the time working together, which of the following expressions represents the portion of the job that Ted will complete when the guys work together?

t/5