# Video: Comparing between Two Periods of Time

Two basketball matches were played. The first started at 9:10 pm and ended at 9:41 pm. The second started at four pm and ended at 4:43 pm. Which match was longer?

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### Video Transcript

Two basketball matches were played. The first started at 9:10 pm and ended at 9:41 pm. The second started at four pm and ended at 4:43 pm. Which match was longer?

In this problem, we need to compare the length of time that two basketball matches took or their duration. To find out the length of time that something takes, we need to know its start time and its end time. And if we read the problem carefully, we can find out both of these facts about both games.

We’re told that the first basketball match started at 9:10 pm. This is the same as 10 past nine and that it ended at 9:41 pm. This is the same as 19 minutes to 10. We’re then told the start and end time for the second match. It begins at 4:00 pm. The zero zero on the end of this time shows us that this is four o’clock. And the second match ends at 4:43 pm or 17 minutes to five. In order for us to find out which match was longer, we need to calculate both durations. And once we’ve done that, we can compare them.

So let’s begin by looking at the first match. It begins at 9:10 and ends at 9:41. The first thing that we can say about these digital times is that the number in the hours place is nine. This means that the time doesn’t cross over into the next hour. It doesn’t go past 10 o’clock. This makes it easier for us. Because to find out how long the match took, all we have to do is to compare the numbers in the minutes place. We know that in a digital time, the number that represents the minutes is to the right of the two dots.

And so, how many minutes go by to get from 10 to 41 minutes past? Well, if we add 30 minutes to 10 which is the same as half an hour, it takes us to 40 minutes past nine. And then if we add another one minute, this takes us to 41 minutes past. We’ve made a jump of 30 minutes and a jump of one minute. So in total, the basketball match has taken 31 minutes.

Now, let’s use the same method to find the duration of the second basketball match. It started at four pm and ended at 4:43 pm. And if we look at the numbers that represent the hours, we can see that we’re working within four something both times. We don’t cross past five o’clock. So again, this makes it easier to work out the duration. Just like before, we simply need to look at the numbers that represent the minutes part of the times. The second match starts at four pm.

And because this is an o’clock time, we can see that the digits after the dots are zero zero. So we’re starting counting from zero. And the match ends at 43 minutes past four. Because we’re starting from zero, we can quickly see how many minutes go by. To get from zero to 43, we simply add 43. And so, we can see that the second match took 43 minutes. 43 is greater than 31.

And so, we can say that if the first basketball match started at 9:10 pm and ended at 9:41 pm and the second match started at four pm and ended at 4:43 pm, the second match was longer.