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Answer :
Sure, let's break down the solution to each part of the question step by step:
1. Question 1.1: How many days is Nico on an oil ship per duty?
- Nico works overseas for 3 months at a time. Assuming there are 4 weeks in a month, we calculate the total number of days he works as follows:
- 3 months × 4 weeks/month × 7 days/week = 84 days
2. Question 1.2: How many hours is Nico home for after a duty?
- After his duty, Nico is home for 2 weeks. To find out the total number of hours he is home, use the following calculation:
- 2 weeks × 7 days/week × 24 hours/day = 336 hours
3. Question 1.3: Complete the missing values A - C in the table above.
- Without the specific table provided, we cannot complete this part.
4. Question 1.4: Calculate the total cost of their telephone calls for the month.
- Assuming that the phone company charges 26 cents per second and Anrie and Nico call each other once a week for 4 minutes:
- Calls duration per week: 4 minutes × 60 seconds/minute = 240 seconds
- Total calls each month: 240 seconds/week × 4 weeks = 960 seconds
- Cost: 960 seconds × 26 cents/second = 24,960 cents = 249.6 rands
5. Question 2.1: If Juanita arrives 7 minutes late, what time can Jose expect to be ready to leave the house?
- Juanita normally arrives at José's house at 06:45. If she's 7 minutes late, she arrives at 06:52. José needs an additional 5 minutes to get ready:
- 06:52 + 5 minutes = 06:57
- José can expect to leave at 06:57.
6. Question 2.2: How many seconds did it take them to get to work on Monday?
- It took them 1 hour and 20 minutes to get to work on Monday. Convert this to seconds:
- 1 hour = 3600 seconds
- 20 minutes = 20 × 60 = 1200 seconds
- Total time in seconds: 3600 + 1200 = 4800 seconds
7. Question 2.3: By what percentage did their travel time decrease from Monday to Tuesday?
- Monday's travel time was 1 hour and 20 minutes (or 80 minutes), and Tuesday's travel time was 50 minutes.
- Calculate the percentage decrease:
- Decrease in time = 80 minutes - 50 minutes = 30 minutes
- Percentage decrease = (30/80) × 100 = 37.5%
8. Question 2.4: Calculate the difference in their average speed between Monday and Tuesday.
- Distance to work is 30 km. Calculate average speeds:
- Monday's speed: 30 km / (4800 seconds / 3600 seconds/hour) ≈ 22.5 km/h
- Tuesday's time: 50 minutes × 60 seconds/minute = 3000 seconds
- Tuesday's speed: 30 km / (3000 seconds / 3600 seconds/hour) ≈ 36 km/h
- Difference in speed: 22.5 km/h - 36 km/h = -13.5 km/h
By following these detailed steps, we can understand how each solution is derived for the given questions.
1. Question 1.1: How many days is Nico on an oil ship per duty?
- Nico works overseas for 3 months at a time. Assuming there are 4 weeks in a month, we calculate the total number of days he works as follows:
- 3 months × 4 weeks/month × 7 days/week = 84 days
2. Question 1.2: How many hours is Nico home for after a duty?
- After his duty, Nico is home for 2 weeks. To find out the total number of hours he is home, use the following calculation:
- 2 weeks × 7 days/week × 24 hours/day = 336 hours
3. Question 1.3: Complete the missing values A - C in the table above.
- Without the specific table provided, we cannot complete this part.
4. Question 1.4: Calculate the total cost of their telephone calls for the month.
- Assuming that the phone company charges 26 cents per second and Anrie and Nico call each other once a week for 4 minutes:
- Calls duration per week: 4 minutes × 60 seconds/minute = 240 seconds
- Total calls each month: 240 seconds/week × 4 weeks = 960 seconds
- Cost: 960 seconds × 26 cents/second = 24,960 cents = 249.6 rands
5. Question 2.1: If Juanita arrives 7 minutes late, what time can Jose expect to be ready to leave the house?
- Juanita normally arrives at José's house at 06:45. If she's 7 minutes late, she arrives at 06:52. José needs an additional 5 minutes to get ready:
- 06:52 + 5 minutes = 06:57
- José can expect to leave at 06:57.
6. Question 2.2: How many seconds did it take them to get to work on Monday?
- It took them 1 hour and 20 minutes to get to work on Monday. Convert this to seconds:
- 1 hour = 3600 seconds
- 20 minutes = 20 × 60 = 1200 seconds
- Total time in seconds: 3600 + 1200 = 4800 seconds
7. Question 2.3: By what percentage did their travel time decrease from Monday to Tuesday?
- Monday's travel time was 1 hour and 20 minutes (or 80 minutes), and Tuesday's travel time was 50 minutes.
- Calculate the percentage decrease:
- Decrease in time = 80 minutes - 50 minutes = 30 minutes
- Percentage decrease = (30/80) × 100 = 37.5%
8. Question 2.4: Calculate the difference in their average speed between Monday and Tuesday.
- Distance to work is 30 km. Calculate average speeds:
- Monday's speed: 30 km / (4800 seconds / 3600 seconds/hour) ≈ 22.5 km/h
- Tuesday's time: 50 minutes × 60 seconds/minute = 3000 seconds
- Tuesday's speed: 30 km / (3000 seconds / 3600 seconds/hour) ≈ 36 km/h
- Difference in speed: 22.5 km/h - 36 km/h = -13.5 km/h
By following these detailed steps, we can understand how each solution is derived for the given questions.
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