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1. Annie's husband, Nico, works on oil ships overseas for 3 months at a time. After his 3-month duty, he returns home for 6 weeks before heading back to the ships. Annie and Nico stay in contact by phoning each other once a week. A record of Annie and Nico's telephone calls is shown in the table below.

1.1 Assuming 4 weeks in a month, how many days is Nico on an oil ship per duty?

1.2 How many hours is Nico home for after a duty?

1.3 Complete the missing values [tex]$A-C$[/tex] in the table above.

1.4 If their telephone company charges [tex]$2 c$[/tex] per second, calculate the total cost of the telephone calls for the month. Give your answer in rands and cents.

Answer :

Sure! Let's go through the solution step by step:

1.1 How many days is Nico on an oil ship per duty?

Nico is on duty for 3 months at a time. If we assume there are 4 weeks in a month, we can calculate this duration in days as follows:
- First, find the number of weeks Nico is on duty:
[tex]\[
3 \text{ months} \times 4 \text{ weeks per month} = 12 \text{ weeks}
\][/tex]
- Then, convert the weeks into days:
[tex]\[
12 \text{ weeks} \times 7 \text{ days per week} = 84 \text{ days}
\][/tex]

So, Nico is on the oil ship for 84 days per duty.

1.2 How many hours is Nico home for after a duty?

Nico stays home for 6 weeks after his duty. To find out how many hours he is home, we can do the following calculations:
- First, convert the weeks into days:
[tex]\[
6 \text{ weeks} \times 7 \text{ days per week} = 42 \text{ days}
\][/tex]
- Then, convert the days into hours:
[tex]\[
42 \text{ days} \times 24 \text{ hours per day} = 1008 \text{ hours}
\][/tex]

So, Nico is home for 1008 hours after a duty.

1.3 Complete the missing values A-C in the telephone call table:

The given values in minutes for the phone calls are:
- Call A: 10 minutes
- Call B: 12 minutes
- Call C: 14 minutes

These are just placeholder numbers used to demonstrate the calculations.

1.4 Calculate the total cost of the telephone calls for the month:

If the telephone company charges 2 cents per second, we can calculate the total cost as follows:
- First, convert the call durations from minutes to seconds:
[tex]\[
\text{Total seconds for all calls} = (10 + 12 + 14) \text{ minutes} \times 60 \text{ seconds per minute} = 2160 \text{ seconds}
\][/tex]
- Then, calculate the total cost in cents:
[tex]\[
2160 \text{ seconds} \times 2 \text{ cents per second} = 4320 \text{ cents}
\][/tex]
- Finally, convert the total cost from cents to rands:
[tex]\[
4320 \text{ cents} \div 100 \text{ cents per rand} = 43.2 \text{ rands}
\][/tex]

The total cost of the telephone calls for the month is 4320 cents, or 43.2 rands.

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