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What is 20 minutes to one-third of a day, expressed as a ratio in simplest form? A - HSC - SSCE Mathematics Standard - Question 6 - 2022 - Paper 1

Question 6

What is 20 minutes to one-third of a day, expressed as a ratio in simplest form? A. 1:8 B. 1:24 C. 60:1 D. 72:1

Worked Solution & Example Answer:What is 20 minutes to one-third of a day, expressed as a ratio in simplest form? A - HSC - SSCE Mathematics Standard - Question 6 - 2022 - Paper 1

Step 1

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Answer

A day consists of 24 hours. To find one-third of a day, we calculate:

$\frac{24}{3} = 8 \text{ hours}$

Next, we convert hours to minutes:

$8 \text{ hours} \times 60 \text{ minutes/hour} = 480 \text{ minutes}$

Thus, one-third of a day is 480 minutes.

Step 2

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Answer

The ratio of 20 minutes to 480 minutes can be written as:

$\frac{20}{480}$

To simplify this ratio, we divide both the numerator and denominator by 20:

$\frac{20 \div 20}{480 \div 20} = \frac{1}{24}$

Step 3

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Answer

The final simplified ratio of 20 minutes to one-third of a day is:

$1 : 24$

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