Answer :
To solve this problem, we will follow the steps below:
1. **Understand the Percentages:**
Newton spends 25% of his free time reading. This tells us that the reading time is a quarter (25 out of 100 parts) of his total free time.
2. **Convert the Percentage to a Fraction:**
25% as a fraction is 25/100, which simplifies to 1/4.
3. **Use the Fraction to Calculate Total Free Time:**
Since the reading time of 40 minutes represents 1/4 of his total free time, we can determine his total free time by setting up the equation:
`(1/4) * Total Free Time = 40 minutes`
To find the total free time, we multiply both sides of the equation by 4:
`Total Free Time = 40 minutes * 4`
`Total Free Time = 160 minutes`
4. **Convert Minutes to Hours and Minutes:**
There are 60 minutes in an hour. We'll divide the total free time in minutes by 60 to find out how many full hours Newton has in his free time:
`Hours = 160 minutes / 60 minutes/hour`
When we perform this division, we get:
`Hours = 2 hours with a remainder of 40 minutes`
Newton has 2 full hours of free time, with an additional 40 minutes left over.
5. **State the Final Answer:**
Therefore, Newton has a total of 2 hours and 40 minutes of free time.