WEBVTT 00:00:01.590 --> 00:00:03.540 Two basketball matches were played. 00:00:04.650 --> 00:00:10.310 The first started at 9:10 pm and ended at 9:41 pm. 00:00:11.160 --> 00:00:15.520 The second started at four pm and ended at 4:43 pm. 00:00:16.380 --> 00:00:17.700 Which match was longer? 00:00:18.910 --> 00:00:24.990 In this problem, we need to compare the length of time that two basketball matches took or their duration. 00:00:26.470 --> 00:00:32.780 To find out the length of time that something takes, we need to know its start time and its end time. 00:00:34.020 --> 00:00:38.210 And if we read the problem carefully, we can find out both of these facts about both games. 00:00:38.830 --> 00:00:44.020 We’re told that the first basketball match started at 9:10 pm. 00:00:44.510 --> 00:00:50.630 This is the same as 10 past nine and that it ended at 9:41 pm. 00:00:51.300 --> 00:00:53.900 This is the same as 19 minutes to 10. 00:00:54.540 --> 00:00:58.060 We’re then told the start and end time for the second match. 00:00:58.850 --> 00:01:01.440 It begins at 4:00 pm. 00:01:02.360 --> 00:01:06.390 The zero zero on the end of this time shows us that this is four o’clock. 00:01:07.190 --> 00:01:14.040 And the second match ends at 4:43 pm or 17 minutes to five. 00:01:14.690 --> 00:01:19.920 In order for us to find out which match was longer, we need to calculate both durations. 00:01:20.260 --> 00:01:22.260 And once we’ve done that, we can compare them. 00:01:23.080 --> 00:01:25.610 So let’s begin by looking at the first match. 00:01:26.260 --> 00:01:29.610 It begins at 9:10 and ends at 9:41. 00:01:30.270 --> 00:01:36.740 The first thing that we can say about these digital times is that the number in the hours place is nine. 00:01:37.550 --> 00:01:40.940 This means that the time doesn’t cross over into the next hour. 00:01:41.650 --> 00:01:43.370 It doesn’t go past 10 o’clock. 00:01:43.730 --> 00:01:45.020 This makes it easier for us. 00:01:45.240 --> 00:01:51.070 Because to find out how long the match took, all we have to do is to compare the numbers in the minutes place. 00:01:51.730 --> 00:01:57.030 We know that in a digital time, the number that represents the minutes is to the right of the two dots. 00:01:57.520 --> 00:02:03.280 And so, how many minutes go by to get from 10 to 41 minutes past? 00:02:03.770 --> 00:02:09.840 Well, if we add 30 minutes to 10 which is the same as half an hour, it takes us to 40 minutes past nine. 00:02:10.270 --> 00:02:14.530 And then if we add another one minute, this takes us to 41 minutes past. 00:02:14.950 --> 00:02:18.720 We’ve made a jump of 30 minutes and a jump of one minute. 00:02:19.450 --> 00:02:24.600 So in total, the basketball match has taken 31 minutes. 00:02:26.280 --> 00:02:31.070 Now, let’s use the same method to find the duration of the second basketball match. 00:02:31.590 --> 00:02:35.620 It started at four pm and ended at 4:43 pm. 00:02:36.060 --> 00:02:42.570 And if we look at the numbers that represent the hours, we can see that we’re working within four something both times. 00:02:43.120 --> 00:02:45.360 We don’t cross past five o’clock. 00:02:45.910 --> 00:02:49.460 So again, this makes it easier to work out the duration. 00:02:50.090 --> 00:02:55.590 Just like before, we simply need to look at the numbers that represent the minutes part of the times. 00:02:56.240 --> 00:02:58.570 The second match starts at four pm. 00:02:58.810 --> 00:03:04.660 And because this is an o’clock time, we can see that the digits after the dots are zero zero. 00:03:05.340 --> 00:03:07.670 So we’re starting counting from zero. 00:03:08.310 --> 00:03:11.590 And the match ends at 43 minutes past four. 00:03:12.090 --> 00:03:15.810 Because we’re starting from zero, we can quickly see how many minutes go by. 00:03:16.230 --> 00:03:20.450 To get from zero to 43, we simply add 43. 00:03:21.050 --> 00:03:25.270 And so, we can see that the second match took 43 minutes. 00:03:25.870 --> 00:03:28.810 43 is greater than 31. 00:03:29.330 --> 00:03:44.820 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.