Work Problems( Week 13 Evaluation) 1. Julia can mop the floor of her house in 20 minutes while her brother can do it in 20 minutes. How many minutes will it take to mop the floor if they work together? 2. An experienced worker can paint an average of 24 square feet per hour while a less experienced worker can paint 20 square feet per hour. How many less experienced workers will be needed to paint the same area as 10 experienced workers within the same time frame? 3. A water tank was full. After 2 gallons of water were poured out, the tank is full. How many gallons of water will the tank hold when it is full? 4. Eric can mow 540 square yards of grass in 2.5 hours. At this rate, how many minutes would it take him to mow 810 square feet of grass? 5. A work crew of 3 people requires 6 weeks and 2 days to finish a certain task. How many work days would it take a work crew of 12 people to finish the same task if each person of both crews works at the same rate? Note that each week has 5 work days. 6. 5 students were working on a project as a group at the same rate. They finished of the project in 6 hours. On the following day, only one student can continue to work on it. How many hours will be needed for him to finish the remaining project at the same rate as before? 7. Eric and Mary both worked the same number of hours last week. Eric was paid $11 per hour with no bonus, while Mary was paid $6 per hour with a total bonus of $50. If both were paid an equal amount of money last week, how many hours did Eric work during the week? 8. Hillary and Rene worked the same number of hours in their part-time job last week. Hillary's hourly wage is $9 and Rene's hourly wage is $10. They also received the same amount of bonus in addition to their hourly wages. Hillary made a total of $122 and Rene made a total of $135. How many hours did Rene work last week? 9. Larry planned to work after school. If he worked 9 weeks, he would earn $252 and a MP3 player. If he worked 3 weeks, and he would earn $36 and the MP3 player. How much does the MP3 player cost? 10. It takes 3 workers 5 hours to harvest 10200 lbs of apples in the farm. At the same rate, how many hours will it take 6 workers to harvest 32640 lbs of apples? |