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------------------------------------------------ 1. How many hours are there:
a) in five days?
b) in one week?
c) between midday and midnight?

2. How many minutes are there:
a) in 3 hours 12 minutes?
b) in one day?
c) between 3 o'clock and 6 o'clock?

3. How many seconds are there:
a) in 5 minutes?
b) in [tex]1 \frac{1}{2}[/tex] hours?

Answer :

Sure! Let's tackle each part of the question step by step.

1. How many hours are there:

a) In five days?
There are 24 hours in a day. So to find out how many hours are in five days, we multiply the number of hours in one day by five:
[tex]\[ 24 \text{ hours/day} \times 5 \text{ days} = 120 \text{ hours} \][/tex]

b) In one week?
A week consists of 7 days. So to find out the number of hours in a week, we multiply the number of hours in one day by seven:
[tex]\[ 24 \text{ hours/day} \times 7 \text{ days} = 168 \text{ hours} \][/tex]

c) Between midday and midnight?
Midday to midnight is a 12-hour duration. Hence, there are:
[tex]\[ 12 \text{ hours} \][/tex]

2. How many minutes are there:

a) In 3 hours 12 minutes?
First, calculate the number of minutes in 3 hours. Since there are 60 minutes in an hour, we have:
[tex]\[ 3 \times 60 \text{ minutes} = 180 \text{ minutes} \][/tex]
Then, add the 12 minutes:
[tex]\[ 180 \text{ minutes} + 12 \text{ minutes} = 192 \text{ minutes} \][/tex]

b) In one day?
There are 24 hours in a day. Therefore, the total number of minutes in a day is:
[tex]\[ 24 \times 60 \text{ minutes} = 1440 \text{ minutes} \][/tex]

c) Between 3 o'clock and 6 o'clock?
The time between 3 o'clock and 6 o'clock is 3 hours. So the number of minutes is:
[tex]\[ 3 \times 60 \text{ minutes} = 180 \text{ minutes} \][/tex]

3. How many seconds are there:

a) In 5 minutes?
There are 60 seconds in a minute, so in 5 minutes, there are:
[tex]\[ 5 \times 60 \text{ seconds} = 300 \text{ seconds} \][/tex]

b) In [tex]\(1 \frac{1}{2}\)[/tex] hours?
First, convert [tex]\(1 \frac{1}{2}\)[/tex] hours to 1.5 hours. There are 60 minutes in an hour, so in 1.5 hours, the number of minutes is:
[tex]\[ 1.5 \times 60 \text{ minutes} = 90 \text{ minutes} \][/tex]
Since there are 60 seconds in a minute, the total number of seconds is:
[tex]\[ 90 \times 60 \text{ seconds} = 5400 \text{ seconds} \][/tex]

And that covers each part of the question!