A movie starts at 3:10 PM and ends at 4:05 PM. How many minutes long is it
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We have a movie that starts at 3:10 PM and ends at 4:05 PM. Our task is to find out how many minutes long the movie is. Let's visualize this on a clock face.
Let's understand how to read these times. The format shows hours and minutes separated by a colon, followed by PM which means Post Meridiem or afternoon. So 3:10 PM means 3 hours and 10 minutes in the afternoon, and 4:05 PM means 4 hours and 5 minutes in the afternoon.
Now let's solve this using direct subtraction. We write 4:05 PM minus 3:10 PM. First, we try to subtract the minutes: 5 minus 10. Since 5 is less than 10, we need to borrow from the hours. We convert 1 hour to 60 minutes, giving us 65 minutes. Now 65 minus 10 equals 55 minutes. For the hours, since we borrowed 1, we have 3 hours minus 3 hours, which equals 0 hours. So the total duration is 55 minutes.
Let's use a timeline approach to visualize the problem. We'll break the time duration into two segments. First, from 3:10 PM to 4:00 PM, which is 50 minutes. Then from 4:00 PM to 4:05 PM, which is 5 minutes. Adding these together gives us 55 minutes total duration.
Our third method involves converting both times to total minutes from a reference point, such as noon. For 3:10 PM, that's 3 hours times 60 minutes plus 10 minutes, which equals 190 minutes from noon. For 4:05 PM, that's 4 hours times 60 minutes plus 5 minutes, which equals 245 minutes from noon. The difference is 245 minus 190, which equals 55 minutes.
All three methods confirm that our movie is 55 minutes long. This verification ensures our answer is correct. As practice, let's try another problem: from 2:45 PM to 3:20 PM. Using direct subtraction, we have 20 minus 45, which is negative, so we borrow 60 minutes, giving us 35 minutes. For the hours, we have zero after borrowing and subtracting. So the duration is 35 minutes.