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
Calculate one-third of a day
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Answer
A day has 24 hours. Therefore, one-third of a day is:
rac{24}{3} = 8
This means one-third of a day is 8 hours.
Step 2
Convert hours to minutes
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Answer
To express 8 hours in minutes, we use the conversion factor of 60 minutes per hour:
8imes60=480
Thus, one-third of a day is 480 minutes.
Step 3
Express the ratio of 20 minutes to 480 minutes
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Answer
The ratio of 20 minutes to 480 minutes can be expressed as:
ext{Ratio} = rac{20}{480}
To simplify, we divide both the numerator and the denominator by 20:
rac{20 ext{ (divided by 20)}}{480 ext{ (divided by 20)}} = rac{1}{24}
Step 4
Final answer
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Answer
Therefore, the ratio of 20 minutes to one-third of a day is 1:24.
