Question

How many seconds are in \[3.5\] years?

Answer 1

Hint: Here we will first convert the given years into the number of days. Then we will convert the number of days into the number of hours by multiplying the number of hours in a day. Similarly, we will convert the obtained hours into the minutes and then into the seconds by multiplying the converting factor to get the number of seconds in the given years.

Complete step by step solution:
First, we will convert the given years in terms of the days.
We know that 1 year is equal to 365 days. Therefore, we get
\[3.5{\text{years}} = 3.5 \times 365{\text{days}}\]
Multiplying the terms, we get
\[ \Rightarrow 3.5{\text{years}} = 1277.5{\text{days}}\]
Now we will convert the days in terms of hours.
We know that there are 24 hours in a day. Therefore, we get
\[ \Rightarrow 3.5{\text{years}} = 1277.5 \times 24{\text{hours}}\]
Multiplying the terms, we get
\[ \Rightarrow 3.5{\text{years}} = 30660{\text{hours}}\]
Now we will convert the hours in terms of minutes. We know that there are 60 minutes in an hour. Therefore, we get
\[ \Rightarrow 3.5{\text{years}} = 30660 \times 60{\text{minutes}}\]
Multiplying the terms, we get
\[ \Rightarrow 3.5{\text{years}} = 1839600{\text{minutes}}\]
Now we will convert the minutes in terms of seconds. We know that there are 60 seconds in a minute. Therefore, we get
\[ \Rightarrow 3.5{\text{years}} = 1839600 \times 60{\text{seconds}}\]
Multiplying the terms, we get
\[ \Rightarrow 3.5{\text{years}} = 110376000{\text{seconds}}\]

Hence, there are 110376000 seconds in \[3.5\] years.

Note:
To convert a dimension given in one unit into another unit we use a converting factor. Generally for converting some dimension into a small unit of measurement then we will multiply it with the converting factor. However, for converting some variable into a larger unit of measurement then we will divide it with the converting factor. We should also know the basic conversion of the time units i.e. there are 24 hours in a day, there is 60 minutes in an hour, there is an 60 seconds in a minute. Seconds is the smallest unit of the time. So we will convert the hours into the minutes and then to seconds by using this basic conversion.