- For problem 1: Zack's rate is 1 driveway per hour, Daniel's rate is 1/1.5 = 2/3 driveways per hour. Combined rate is 1 + 2/3 = 5/3 driveways per hour. Time to complete 1 driveway together is 1 / (5/3) = 3/5 hours, or 0.6 hours.
- For problem 2: Stan's rate is 1/2 kitchen per hour, Judy's rate is 1/1.5 = 2/3 kitchens per hour. Combined rate is 1/2 + 2/3 = 7/6 kitchens per hour. Time to complete 1 kitchen together is 1 / (7/6) = 6/7 hours, or approximately 0.857 hours.
Parent Tip: Review the logic above to help your child master the concept of pre algebra free worksheet.