Work Problems( Week 13 Evaluation) 1. Morgan can mop the floor of her house in 20 minutes while her brother can do it in 30 minutes. How many minutes will it take to mop the floor if they work together? 2. An experienced worker can paint an average of 21 square feet per hour while a less experienced worker can paint 18 square feet per hour. How many less experienced workers will be needed to paint the same area as 12 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. Jackson can mow 840 square yards of grass in 2.5 hours. At this rate, how many minutes would it take him to mow 504 square feet of grass? 5. A work crew of 4 people requires 4 weeks and 1 day 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. 3 students were working on a project as a group at the same rate. They finished of the project in 8 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. David and Susan both worked the same number of hours last week. David was paid $13 per hour with no bonus, while Susan was paid $7 per hour with a total bonus of $72. If both were paid an equal amount of money last week, how many hours did David work during the week? 8. Nancy and David worked the same number of hours in their part-time job last week. Nancy's hourly wage is $8 and David's hourly wage is $9. They also received the same amount of bonus in addition to their hourly wages. Nancy made a total of $69 and David made a total of $77. How many hours did Nancy work last week? 9. Jay planned to work after school. If he worked 6 weeks, he would earn $46 and a MP3 player. If he worked 4 weeks, and he would earn $4 and the MP3 player. How much does the MP3 player cost? 10. It takes 5 workers 3 hours to harvest 13050 lbs of apples in the farm. At the same rate, how many hours will it take 7 workers to harvest 36540 lbs of apples? |