MAT 120 Intermediate Algebra
Word Problems – Section 6.8
RATE OF WORK –
1. Your friend can design a web site in 20 hours and you can design a web site in 10 hours. How long will it take you to design a web site together?
2. Working together, Maya and Abraham can paint a room in 40 minutes. Maya knows she could paint a room in 1 hour by herself. How fast can Abraham paint the room by himself?
3. One inlet pipe can fill an empty pool in 5 hours and a drain can empty the pool in 8 hours. How long will it take the inlet pipe to fill the pool if the drain is left open?
4. It takes a Canon PIXMA MP495 15 minutes longer to print a set of photos than takes the Canon PIXMA MG8220. Together it would take them 10 minutes to print the photos. How long would it take them each machine, working alone, to print the photos?
PROPORTIONS -
1. A market researcher finds out that 3 out of 10 people at GCC are Diamondback fans. If you know that there are 21,000 total students at GCC, how many GCC students are D-Back fans?
2. In a sample of 30 spark plugs, 2 were rejected because they were defective. If you are holding on to 5 defective spark plugs, how large is your sample?
3. A recipe for spaghetti sauce requires five 16-ounce bottles of ketchup to make 3 gallons of sauce. How many bottles of ketchup are needed to make 7 gallons of sauce?
4. To determine the number of foxes in King County, a biologist catches, tags, and then releases 25 foxes. One month later, the biologist captures 36 foxes and finds that 4 of them have tags. Estimate the population of the foxes in King County.