1 00:00:00,000 --> 00:00:00,830 2 00:00:00,830 --> 00:00:05,060 Susan has 96 minutes to complete a test at school. 3 00:00:05,060 --> 00:00:09,340 The test begins at 1:59 PM. 4 00:00:09,340 --> 00:00:13,940 And Susan has volleyball practice at 4:00 PM. 5 00:00:13,940 --> 00:00:16,740 How much time will Susan have between the end of the test 6 00:00:16,740 --> 00:00:18,750 and the beginning of volleyball practice? 7 00:00:18,750 --> 00:00:20,640 Let's think about this a little bit. 8 00:00:20,640 --> 00:00:22,410 So the test begins at 1:59. 9 00:00:22,410 --> 00:00:25,124 So it's a very strange time to begin a test, 10 00:00:25,124 --> 00:00:26,290 but let's just go with that. 11 00:00:26,290 --> 00:00:28,630 So let me draw a little time line here. 12 00:00:28,630 --> 00:00:35,030 So let's say that this is 2 o'clock PM. 13 00:00:35,030 --> 00:00:37,650 Then we're going to have 3:00 PM. 14 00:00:37,650 --> 00:00:42,060 15 00:00:42,060 --> 00:00:47,990 Then we're going to have 4 o'clock PM, which is also 16 00:00:47,990 --> 00:00:49,960 when volleyball practice begins. 17 00:00:49,960 --> 00:00:51,440 So this is volleyball practice. 18 00:00:51,440 --> 00:00:54,760 It's going to start then and then go on from 4:00 PM. 19 00:00:54,760 --> 00:00:57,000 And then the test begins at 1:59. 20 00:00:57,000 --> 00:00:58,850 So let me continue the number line. 21 00:00:58,850 --> 00:01:02,530 So this right over here is 1:00 PM. 22 00:01:02,530 --> 00:01:05,880 23 00:01:05,880 --> 00:01:10,900 So the test is going to begin at 1:59, so 1 minute before 2 PM. 24 00:01:10,900 --> 00:01:12,950 We know that there are 60 minutes in an hour. 25 00:01:12,950 --> 00:01:16,460 So 1:59 is 1 minute before 2:00 PM. 26 00:01:16,460 --> 00:01:18,210 So I'm not drawing it completely it scale, 27 00:01:18,210 --> 00:01:24,640 but this right over here is 1:59 PM. 28 00:01:24,640 --> 00:01:29,220 So we use 1 minute to get to 2:00 PM. 29 00:01:29,220 --> 00:01:32,440 And then, let's see, we have to get up to 96 minutes. 30 00:01:32,440 --> 00:01:36,430 So then you get another 60 minutes to go to 3:00 PM. 31 00:01:36,430 --> 00:01:39,580 So, so far, we've used a cumulative 61. 32 00:01:39,580 --> 00:01:40,654 So this is 1 minute. 33 00:01:40,654 --> 00:01:42,570 So this is how long the test has been going on 34 00:01:42,570 --> 00:01:43,403 since the beginning. 35 00:01:43,403 --> 00:01:48,360 So 1 minute by 2:00 PM, 61 minutes by 3:00 PM. 36 00:01:48,360 --> 00:01:52,225 If we go all the way to 4:00 PM, that's going to be another 60. 37 00:01:52,225 --> 00:01:56,110 That'd be 121 minutes, which is longer than the actual test. 38 00:01:56,110 --> 00:01:58,952 So we know that the entire test is 96 minutes. 39 00:01:58,952 --> 00:02:00,660 So we're going to get to some point right 40 00:02:00,660 --> 00:02:03,140 over here, some point like this. 41 00:02:03,140 --> 00:02:06,030 That's 96 minutes. 42 00:02:06,030 --> 00:02:09,590 And what we need to figure out is, is what is left over? 43 00:02:09,590 --> 00:02:12,355 What is this distance right over here? 44 00:02:12,355 --> 00:02:14,490 Or what is this time, this difference 45 00:02:14,490 --> 00:02:15,690 in time right over here? 46 00:02:15,690 --> 00:02:17,176 And so to figure that out, we had 47 00:02:17,176 --> 00:02:19,950 to figure out the time at which 96 minutes have passed 48 00:02:19,950 --> 00:02:21,950 since the beginning of the exam. 49 00:02:21,950 --> 00:02:25,090 So at 3 o'clock, 61 minutes have passed. 50 00:02:25,090 --> 00:02:27,500 And so if we, if we say well how many more minutes 51 00:02:27,500 --> 00:02:29,430 have to go on for the end of the test? 52 00:02:29,430 --> 00:02:32,420 It's going to be 96 minus 61. 53 00:02:32,420 --> 00:02:36,600 So the amount of time that elapses past 3 minutes 54 00:02:36,600 --> 00:02:40,930 is 96 minus 61, which is 35 minutes. 55 00:02:40,930 --> 00:02:48,717 So this right over here is going to be 3:35. 56 00:02:48,717 --> 00:02:50,800 And so now our question is, how much time is there 57 00:02:50,800 --> 00:02:55,800 between 3:35 and 4:00 PM? 58 00:02:55,800 --> 00:02:58,950 Well, once again, 60 minutes in an hour. 59 00:02:58,950 --> 00:03:02,020 4:00 PM is essentially the 60th minute. 60 00:03:02,020 --> 00:03:09,360 So if we take 60 minus 35, we get 2:25. 61 00:03:09,360 --> 00:03:15,300 So she has a total of 25 minutes remaining after the test 62 00:03:15,300 --> 00:03:17,580 before she has to get to volleyball practice. 63 00:03:17,580 --> 00:03:18,560 Just as a review. 64 00:03:18,560 --> 00:03:21,660 One minute between 1:59 and 2:00, then another 60. 65 00:03:21,660 --> 00:03:23,870 That gets us to 61 total minutes. 66 00:03:23,870 --> 00:03:30,160 Then another 35 minutes gets us to 96 minutes have passed. 67 00:03:30,160 --> 00:03:32,810 And that also gets us to 3:35, which 68 00:03:32,810 --> 00:03:37,255 means we have 25 minutes until 4:00. 69 00:03:37,255 --> 00:03:37,755