To know which one is greater we will find the ratio of the two given quantities. The value of a sec in a day is greater than an inch in the mile.
What is the value of an inch in a mile?
We know that a mile is equal to 63360 inches, therefore, the ratio of the two,
[tex]1\rm mile ={63,360}\ sec[/tex]
What is the value of a second in a day?
We know that a day has 24 hours, each hour has 60 minutes, and each minute has 60 seconds, therefore,
[tex]1\rm\ day=86,400\ sec[/tex]
Which is greater: inches in a mile or seconds in a day?
As we can see in the two equations above there are more seconds in a day than an inch in a mile, therefore, inches in a mile is less than a second in a day.
Learn more about Unit conversion:
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