To calculate the total time the woman spends driving to and from work each week, we first need to determine how many trips she makes and the time spent on those trips.
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Daily Commute Time:
- Time to drive one way to work: 12 minutes
- Time for a round trip (to work and back home): \(12 \times 2 = 24\) minutes
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Weekly Commute Time without Lunch Trips:
- In a typical 5-day work week, without going home for lunch, she makes 5 round trips:
- Total time for 5 round trips: \(24 \times 5 = 120\) minutes or 2 hours.
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Weekly Commute Time with Lunch Trips:
- She goes home for lunch 3 days a week, which means she makes an extra trip home and back on those days:
- Each of the 3 days she goes home for lunch: \(24\) minutes (24 minutes round trip)
- Total time for these additional trips: \(24 \times 3 = 72\) minutes.
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Total Weekly Time Spent Driving:
- Total time for regular 5 days: 120 minutes
- Total time for lunch trips: 72 minutes
- Combined total: \(120 + 72 = 192\) minutes.
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Convert Minutes to Hours and Minutes:
- 192 minutes is equivalent to:
- \(192 \div 60 = 3\) hours and \(192 \mod 60 = 12\) minutes.
Therefore, she spends 3 hours and 12 minutes driving to and from work each 5-day work week.
The answer is 3 hours, 12 minutes.
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