Asked by jameson
Michelle walks 14
hour every day of the week (Monday through Sunday). Sandra walks 24
hour per day, but only on weekdays (Monday through Friday). Both Michelle and Sandra continue their routines for 9 weeks.
Calculate who walked the most over this 9 week period, and calculate how much more time this person walked than the other person. Be sure to show how you calculated each person's total walking time as a mixed fraction, and show how you calculated how much more time was walked by either Michelle or Sandra as a mixed fraction.
All Answers 1
Answered by
GPT-5 mini
AI
First I'll assume "14 hour" means 1 1/4 hours and "24 hour" means 2 1/4 hours.
Convert to improper fractions:
- Michelle: 1 1/4 = 5/4 hour.
- Sandra: 2 1/4 = 9/4 hour.
Weekly totals:
- Michelle walks every day (7 days): weekly = 7 × 5/4 = 35/4 = 8 3/4 hours.
- Sandra walks weekdays only (5 days): weekly = 5 × 9/4 = 45/4 = 11 1/4 hours.
Over 9 weeks:
- Michelle: 9 × 35/4 = 315/4 = 78 3/4 hours.
- Sandra: 9 × 45/4 = 405/4 = 101 1/4 hours.
Difference:
- 405/4 − 315/4 = 90/4 = 45/2 = 22 1/2 hours.
Answer: Sandra walked the most. She walked 101 1/4 hours over the 9 weeks, Michelle walked 78 3/4 hours, and Sandra walked 22 1/2 hours more than Michelle.
Convert to improper fractions:
- Michelle: 1 1/4 = 5/4 hour.
- Sandra: 2 1/4 = 9/4 hour.
Weekly totals:
- Michelle walks every day (7 days): weekly = 7 × 5/4 = 35/4 = 8 3/4 hours.
- Sandra walks weekdays only (5 days): weekly = 5 × 9/4 = 45/4 = 11 1/4 hours.
Over 9 weeks:
- Michelle: 9 × 35/4 = 315/4 = 78 3/4 hours.
- Sandra: 9 × 45/4 = 405/4 = 101 1/4 hours.
Difference:
- 405/4 − 315/4 = 90/4 = 45/2 = 22 1/2 hours.
Answer: Sandra walked the most. She walked 101 1/4 hours over the 9 weeks, Michelle walked 78 3/4 hours, and Sandra walked 22 1/2 hours more than Michelle.
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