Final answer:
Ashley and her four friends will take approximately 140 hours to prepare 1575 bags of samples. This is calculated by first finding the time it takes for her friends to prepare a bag (which is 75% longer than Ashley), adding their times together, and then multiplying the total time per bag by the number of bags, finally converting minutes to hours.
Step-by-step explanation:
To calculate the time it will take for Ashley and her four friends to prepare 1575 bags of samples, we need to follow several steps. First, we find out how long it takes for each of her friends to prepare one bag. Since it takes Ashley ⅓ of a minute to prepare one bag, it takes her friends 75% longer, which means they take ⅓ + (⅓ × 0.75) minutes per bag. Calculating that gives us:
- ⅓ of a minute = 0.6667 minutes (approximately)
- 0.6667 × 0.75 = 0.500025 additional minutes
- 0.6667 + 0.500025 = 1.166725 minutes per bag for her friends (approximately)
Next, we add the time Ashley and her friends take together to prepare one bag. Since there are five people total:
- Ashley's time per bag: 0.6667 minutes
- Four friends' combined time per bag: 4 × 1.166725 = 4.6669 minutes
- Total time for five people to prepare one bag: 0.6667 + 4.6669 = 5.3336 minutes
Now, we determine the total time to prepare 1575 bags:
- Total time = 1575 × 5.3336 minutes
- Total time = 8404.2 minutes
To convert minutes to hours, we divide by 60:
- Total hours = 8404.2 ÷ 60
- Total hours = ≈ 140.07 hours
Therefore, it will take Ashley and her four friends about 140 hours to prepare 1575 bags of samples.