One day is the amount of time it takes for a planet to make one complete rotation. The number of hours in one day is different for each plane. How many days are equal to 1,100 hours on Saturn? Show your work.
Answer :
The hours 1,100 hours on Saturn is equivalent to 100 days on Earth and Mars
How to determine the number of days of 1100 hours?
From the question, we have the following table of values that can be used in our computation:
Planet Length of one day (hours)
Earth 24
Mars 25
Saturn 11
Also, we have
Number of hours on Saturn = 1100
So, we can represent the table of values as a ratio
Earth : Mars : Saturn = 24 : 25 : 11
Substitute Number of hours on Saturn = 1100 in the ratio
Earth : Mars : 1100 = 24 : 25 : 11
Multiply the ratio by 100
So, we have
Earth : Mars : 1100 = 2400 : 2500 : 1100
This means that
Earth = 2400 hours
Mars = 2500 hours
Divide by 24 and 25
Earth = 100 days
Mars = 100 days
Hence, the number of days on Earth is 100 days
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The number of days that are equal to 1,100 hours on Saturn is given as follows:
100 days.
What is a proportion?
A proportion is a fraction of a total amount, which is used along with the basic arithmetic operations such as multiplication and division to find the desired measures in the context of a problem.
The length of one day in Saturn, from the table, is given as follows:
11 hours.
Hence the following rule of three models the situation, considering that we want the number of days for 1,100 hours, hence:
1 day - 11 hours
x days - 1100 hours.
Then the number of days equivalent to 1100 hours on Saturn is obtained applying cross multiplication, as follows:
11x = 1100
x = 1100/11
x = 100 days.
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