1. Rob and Bob work at an apple orchard. Rob can pick all the apples in 10 hours, and Bob can do the same job in 8 hours. Working together, how long will it take the two to pick all the apples?

2. Weston and Whitney whittle woodpeckers for Williamstown Worldwide Woodworking. Weston can whittle a box of woodpeckers in 28 minutes, and Whitney can whittle a box in 24 minutes. If the brothers work together, how long will it take to whittle a box of woodpeckers?

3. Rodd and Todd make Bible Bracelets. Rodd can make a box of bracelets in 5 hours. Together, the boys can make a box in 2 hours. How long would it take Todd to make a box of bracelets?

4. Jim Bob can harvest a field of hay in 22 hours. Working with his brother, Robert James, the pair can harvest the field in 8 hours. How fast can Robert James harvest the field by himself?

5. Jake and Jed shovel snow. By himself, Jake can shovel the snow in six hours. By himself, it takes Jed ten hours. How long will it take the boys, working together, to shovel the snow?

6. Mr. Gouline has found that a solution that is 10% bleach is ideal for cleaning up Dawson’s messes. Unfortunately, the store only sells 7% and 11% solutions. How much of each is needed to make six gallons of 10% bleach?

7. At Cucumbers Pickle Factory, the recipe for Locally Infamous pickles calls for a 13% brine solution. Sam’s Club, the official supplier of pickle brine, only sells 10% and 14% solutions. How much of each should be used to make 12 gallons of the 13% solution?

8. Mr. Heubeck has a very strict diet, and it calls for him to drink milk that is 3% fat. Unfortunately, the store sells only whole milk (8% fat) and 2% milk. How much of each does he need to make 6 quarts of 3% milk?

9. The local supermarket sells two types of ground beef—80% lean and 90% lean. (80% lean means that 80% of the mass is beef and 20% is fat.) A properly made hamburger consists of 10 ounces of 86% lean ground beef. How much of each type of beef does one need to make one burger?

10. Griffin lives on a giant hill. In fear of immanent snow, he decides to brine his driveway. He knows he needs ten gallons of 16% solution. In his basement, he only has 12% and 17% solutions. How much of each must he use to have the proper mixture?

11. The sum of two numbers is 14. The sum of their reciprocals is 7/12. Find the numbers.

12. The sum of two numbers is 50. The sum of their reciprocals is 1/12. What are the two numbers?

13. Tony Stewart drives the number 14 Office Depot Chevy Impala 120 miles between pit stops. During cautions, which account for 40 of the miles, he gets 10 miles per gallon. He gets 5 miles per gallon total. What is his gas mileage during green flag runs?

14. Mr. Gouline drives a Toyota Camry (Stewart’s old manufacturer). He normally gets 20 miles per gallon, and drives about 120 miles per week. If he drives 60 miles per week on the interstate, where he gets 30 miles per gallon, what is his gas mileage off the interstate?

15. A Duck Tours amphibious vehicle gets approximately 12 miles per gallon. A Duck Tour is approximately 24 miles. Four of those miles are at sea, where the vehicle gets six miles per gallon. What is the Duck boat’s gas mileage on land?

16. Homer’s plow business, Mr. Plow, plows driveways in the snow. He drives 24 miles with his plow “up”, and gets 12 miles per gallon. He drives 27miles total, and averages 9 miles per gallon. What is Mr. Plow’s gas mileage with the plow “down”?