Write your labels ("Let Statements"). Write a verbal model. Write an equation. Then solve your equation. Finally answer the problem asked. Remember that word problems need word answers.

  1. An oil painting is 8 in. longer than it is wide and is bordered on all sides by a frame 3 in. wide. If the area of the frame alone is 468 in2, what arethe dimensions of the painting?
  1. A rectangular swimming pool is 24 m longer than it is wide and is surrounded by a deck 3 m wide. Find the area of the pool if the area of the deck is 324 m2.
  1. Two planes leave El Paso at 6:00 a.m., one flying east at a speed 20 km/h greater than the one traveling west. At 8:00 a.m. the planes are 1960 km apart. Find their speeds.
  1. A patio is twice as long as it is wide. It is bordered on all sides by a garden 2 m wide. If the area of the garden is 136 m2, find the width of the patio.
  1. Two truck drivers started at the same time from towns 396 km apart and drove toward each other. One driver drove twice as fast as the other driver. If they met in 3 hours, find the speed of the slower driver.
  1. A rectangle is 6 cm longer than it is wide. If the length is increased by 4 cm and the width is increased by 3 cm, the area is increased by 156 cm2. Find the width of the original rectangle.
  1. A picture is 20 cm taller than it is wide. It is mounted on a piece of poster board so that there is a 5 cm border on all sides. If the area of the border alone is 1500 cm2, what are the dimensions of the picture?
  1. A car and a truck heading for Joliet on the same route left a restaurant parking lot at the same time. Their speeds differed by 10 mi/h. Four hours later the car arrived in Joliet. The truck reached Joliet one hour after the car. Find the speed of the car.
  1. A corner lot that was originally square lost 576 ft2 of area when one adjacent street was widened by 4 ft and the other was widened by 6 ft. Find the new dimensions of the lot.
  1. A house has two rooms of equal area. One room is square and the other is 4 ft longer and 3 ft narrower than the square room. Find the area of the square room.

3-A4 Word Problems: Work Rate & Mixture Alg 1H

DO ON BINDER PAPER Write your labels ("Let Statements"). Write a verbal model. Write an equation. Then solve your equation. Finally answer the problem asked. Remember that word problems need word answers.

1. Pete can weed the garden in six hours. Paul can weed the garden in five hours. Mary can weed the garden in four hours. How long will it take them to weed the garden together?

2. Mel can clean the diner in two hours. It takes Alice only one and a half hours to do the same job. Together, how long will it take them to clean the diner?

3. Alex has dried apricots he sells for $.80/lb. and dried apples he sells for $1.20/lb. How many pounds of each will go into making a 20-pound mixture that he sells for $.84 /lb.?

4. Pete has honey-roasted peanuts and plain peanuts he sells for $.70/lb. and $.50/lb., respectively. How many pounds of each will go into making a mix of 10 pounds costing $.54/lb.?

5. Pele has peanuts he sells for $.40/lb. and candy he sells for $1.00/lb. How many pounds of each will go into making a mix of 10 pounds he sells for $.52/lb.?

6. Five years from now, Ernie will be twice Pete’s age. If Ernie is now 2½ times as old as Pete find their ages.

7. Randy can mow the lawn in two hours. His sister can mow it in three hours. Together, how long will it take them to do the job?

8. It takes Sally 15 min to pick the apples from the tree in her backyard. Lisa can do it in 25 min. How long will it take them working together?

9. A small city park consists of a rectangular lawn surrounded on all sides by a 330 sq. m border of flowers 2.5 m wide. Find the area of the lawn if the entire park is 5 m longer than it is wide.

3-A5 Chapter 3 Word Problem ReviewAlg 1H

1.A photograph 8 cm taller than it is wide is mounted on a piece of wood so that there is a 4 cm border on all sides. If the area of the border alone is 320 cm2, what are the dimensions of the photograph?

2.It takes Kurt 2 hours to mow the neighbors’ lawn and it takes his brother Mike 3 hours to do the same job. How long will it take them to do the job together?

3.The length of a rectangle is three times as long as its width. The perimeter is 45 cm more than the length. Find the rectangle’s dimensions.

4.A grocer has peanuts selling for $1.50/lb. and dried fruit selling for $1.05/lb. He mixed how many pounds of each to make a mixture of 10 pounds at $1.32/lb.?

5.Two planes leave Kansas City at the same time, one traveling east and the other traveling west. The speed of the eastbound plane is 50 mph more than the speed of the westbound plane. After 2 hours, the planes are 2900 miles apart. What is the speed of the westbound plane?

6.A print is 10 cm longer than it is wide. It is mounted in a frame 1.5 cm wide. The area of the frame is 399 cm2. Find the dimensions of the print.

7.It takes Sally 15 min. to pick the apples from the tree in her backyard. Lisa can do it in 25 min. How long will it take them working together?

8.The length of a rectangle is 8 cm more than the width. A second rectangle is 5 cm wider and 6 cm longer than the first rectangle. The second rectangle has a perimeter of 242 cm. Find the dimensions of each rectangle. (You may want to make a sketch first.)