case 1

1
00:00:00,000 --> 00:00:03,064
well you also know that I'm walking a half of mile

2
00:00:03,064 --> 00:00:04,387
minute

3
00:00:04,387 --> 00:00:05,227
so

4
00:00:05,227 --> 00:00:07,190
with that knowledge

5
00:00:07,190 --> 00:00:11,066
could you tell me how much further I went

6
00:00:15,663 --> 00:00:17,736
further

7
00:00:17,736 --> 00:00:19,018
and a

8
00:00:19,018 --> 00:00:20,820
half a minute

9
00:00:23,513 --> 00:00:27,138
don't worry about specifics but could you

10
00:00:27,138 --> 00:00:29,792
tell me how much firther it went in half a minute?

11
00:00:30,553 --> 00:00:32,095
how so?

12
00:00:33,588 --> 00:00:36,593
I'm traveling at a rate of half a mile per minute and I'm

13
00:00:36,593 --> 00:00:38,746
now a half a minute more

14
00:00:41,399 --> 00:00:43,533
somebody said something, [I said half of a half]

15
00:00:43,533 --> 00:00:45,005
half of a half

16
00:00:50,622 --> 00:00:52,526
why half of a half miles?

17
00:00:52,526 --> 00:00:54,107
[bacause]

18
00:00:55,820 --> 00:01:00,737
[you are further in half a minute and he is traveling
in half of a mile per minute]

19
00:01:00,737 --> 00:01:02,100
[and so]

20
00:01:02,100 --> 00:01:05,394
[half of a minute is one half and then???]

21
00:01:05,394 --> 00:01:08,778
[so it's half of one half]

22
00:01:08,778 --> 00:01:11,253
ok yeah I mean exactly

23
00:01:11,253 --> 00:01:14,718
if my rate is half a mile per minute and I traveled

24
00:01:16,239 --> 00:01:17,822
half

25
00:01:17,822 --> 00:01:19,974
time what do you expect my distance to be?

26
00:01:22,018 --> 00:01:23,159
half the distance

27
00:01:23,159 --> 00:01:26,814
it just so happens my distance is increasing by half
each time so half of a half

28
00:01:26,814 --> 00:01:30,109
how do you find half of a half just curious ???

29
00:01:30,109 --> 00:01:32,403
[one fourth]

30
00:01:32,403 --> 00:01:34,006
Ethan why a four?

31
00:01:34,006 --> 00:01:35,558
was that you?

32
00:01:36,608 --> 00:01:38,031
you said a fourth but why?

33
00:01:38,031 --> 00:01:43,509
[half of a half half times a half is a fourth]

34
00:01:43,509 --> 00:01:45,632
yeah

35
00:01:45,632 --> 00:01:48,085
half of a half half times a half is a fourth yeah

36
00:01:48,085 --> 00:01:49,697
could you tell me in a

37
00:01:49,697 --> 00:01:50,629
tenth of a minute

38
00:01:50,629 --> 00:01:52,912
don't worry about specifics, could you

39
00:01:52,912 --> 00:01:54,805
tell me about a tenth of a minute?

40
00:01:54,805 --> 00:01:57,129
what about a tenth of a minute how would you do so?

41
00:02:01,825 --> 00:02:04,218
a tenth of a minute is what fraction of time?

42
00:02:04,218 --> 00:02:05,861
[tenth of the time]

43
00:02:05,861 --> 00:02:09,015
a tenth of the time so what do you suspect
about my distance traveled?

44
00:02:09,015 --> 00:02:10,798
[tenth of the distance]

45
00:02:10,798 --> 00:02:12,850
tenth of the distance well

46
00:02:12,850 --> 00:02:14,933
on half a mile per minute so

47
00:02:21,313 --> 00:02:23,497
tenth of

48
00:02:25,770 --> 00:02:27,742
tenth oh a half

49
00:02:27,742 --> 00:02:29,155
well I can't write today

50
00:02:29,155 --> 00:02:30,967
tenth of a half which is

51
00:02:30,967 --> 00:02:33,284
just for Bon?

52
00:02:35,514 --> 00:02:38,097
what about three tenths of a minute?

53
00:02:42,272 --> 00:02:44,246
could you hypothetically figure out

54
00:02:44,246 --> 00:02:47,180
how much further I went in three tenths of a minute?