Assignment

Kim and Kelly are planning to sew a quilt together. Kim thinks if she worked alone it would take her 4 times as long as it would take Kelly to sew the quilt by herself. Working together, they can complete the job in 2 hours. How long will it take each of them, working alone, to complete the job? Use the formula: Rate = Work/Time

1) Explain in words what x equals in this situation:

x=

2) Write an algebraic expression to represent how long it will take Kim to sew the quilt herself:

3) Write an algebraic equation to describe Kelly's rate to sew the quilt herself:

4) Write an algebraic equation to describe Kim's rate to sew the quilt herself:

5) Write an algebraic expression to represent their combined rate:

6) If they can sew 1 entire quilt together in 2 hours, write an equation to represent their combined rate:
7) What will you multiply the entire equation by to clear the fractions?

8) Show how you cleared the fractions in your equation:

9) What is the value of x?

10) How long will it take Kelly to sew the quilt herself?

11) How long will it take Kim to sew the quilt herself?

12) Jim and Mark can build a bookshelf in 9 hours when working together. It takes Jim 3 times longer to build a bookshelf by himself than it does Mark. How long will it take EACH of them, working alone, to build a bookshelf?