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Answer :
The ratio of a new-second to an ordinary second regarding the values given is 125 : 108
What is ratio ?
The term ratio refers to a comparison of two or more numbers. ratio sometimes appear in the form x : y and is this is said to be x is to y
In the question, converting the units of days, hours, and minutes to seconds we have
= 1 day * 24 hours * 60 minutes * 60 seconds
= 86400
converting the units of days, new-hours, and new-minutes to new-seconds we have
= 1 day * 10 new-hours * 100 new-minutes * 100 new-seconds
= 100 000
The ratio of the new-seconds to ordinary seconds is calculated by
= 100 000 : 86400
= 125 : 108 (in least form)
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Final answer:
In the new time system proposed in the question, a day consists of 10 new-hours, each divided into 100 new-minutes, which are further broken down into 100 new-seconds. This gives a total of 100,000 new-seconds per day. Comparatively, a standard day consists of 86,400 seconds, so the ratio of a new-second to an ordinary second is 0.864.
Explanation:
To provide a clear understanding, a standard day is divided into 24 hours, each hour into 60 minutes and every minute further divided into 60 seconds. Hence, an ordinary day contains 24 x 60 x 60 = 86,400 seconds.
However, in this new time system, a day is divided into 10 new-hours, each new-hour is divided into 100 new-minutes, and each new-minute is divided into 100 new-seconds. Thus, a day in the new time system consists of 10 x 100 x 100 = 100,000 new-seconds.
The ratio of a new-second to an ordinary second can be obtained by dividing the total number of ordinary seconds in a day by the total number of new-seconds in a day. Mathematically,
Ratio = Number of Ordinary Seconds / Number of New-Seconds = 86,400 / 100,000 = 0.864
A new-second is therefore 0.864 of an ordinary second.
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