1 00:00:06,280 --> 00:00:07,799 Do you have a friend or a sibling 2 00:00:07,799 --> 00:00:09,277 that's always competing with you 3 00:00:09,277 --> 00:00:11,294 to see who's the fastest? 4 00:00:11,294 --> 00:00:13,433 Our alien friends Bleebop and Mark 5 00:00:13,433 --> 00:00:14,655 are having the same debate 6 00:00:14,655 --> 00:00:16,348 with their custom-built rockets, 7 00:00:16,348 --> 00:00:17,438 and they've asked us 8 00:00:17,438 --> 00:00:20,188 to be the judge of a space race to their moon. 9 00:00:20,188 --> 00:00:22,017 The only problem is that they are starting 10 00:00:22,017 --> 00:00:23,648 from different asteroids. 11 00:00:23,648 --> 00:00:27,287 Bleebop is on an asteroid 240 miles from the moon, 12 00:00:27,287 --> 00:00:30,524 and Mark is on one 150 miles away. 13 00:00:30,524 --> 00:00:32,820 Don't worry, it's not rocket science. 14 00:00:32,820 --> 00:00:36,297 Solving this equation is as simple as DIRT. 15 00:00:36,297 --> 00:00:37,739 We can decide who the winner is 16 00:00:37,739 --> 00:00:41,250 using the D=RT formula, or DIRT. 17 00:00:41,250 --> 00:00:44,748 This stands for distance equals rate times time. 18 00:00:44,748 --> 00:00:46,650 In the case of Bleebop and Mark, 19 00:00:46,650 --> 00:00:48,728 we will only know the distance they traveled 20 00:00:48,728 --> 00:00:50,008 and the time it took for them 21 00:00:50,008 --> 00:00:51,293 to get to the finish line. 22 00:00:51,293 --> 00:00:52,966 It'll be up to us to find the rate 23 00:00:52,966 --> 00:00:54,768 and who is faster. 24 00:00:54,768 --> 00:00:56,213 Let's turn to the race now 25 00:00:56,213 --> 00:00:57,938 and see what information we get. 26 00:00:58,614 --> 00:00:59,566 Three, 27 00:00:59,566 --> 00:01:00,654 two, 28 00:01:00,654 --> 00:01:01,801 one, 29 00:01:01,801 --> 00:01:03,187 blast off! 30 00:01:03,618 --> 00:01:05,349 Bleebop and Mark's rockets go zipping 31 00:01:05,349 --> 00:01:07,444 across the galaxy towards their moon, 32 00:01:07,444 --> 00:01:08,898 dodging clunky meteorites 33 00:01:08,898 --> 00:01:11,197 and loopy space buggies. 34 00:01:11,197 --> 00:01:13,727 After a few close calls with a wandering satellite, 35 00:01:13,727 --> 00:01:16,640 Mark arrives first in two hours, 36 00:01:16,640 --> 00:01:19,362 and Bleebop gets there one hour later. 37 00:01:19,362 --> 00:01:21,447 Looks like Mark has the faster rocket, 38 00:01:21,447 --> 00:01:24,526 but let's check out the results with our DIRT equation. 39 00:01:24,526 --> 00:01:26,568 Begin by setting up a chart. 40 00:01:26,568 --> 00:01:28,691 Make four columns and three rows. 41 00:01:28,691 --> 00:01:31,214 Use DIRT to remember what to fill in. 42 00:01:31,214 --> 00:01:33,054 Each rocket will have information 43 00:01:33,054 --> 00:01:35,521 for distance, rate, and time. 44 00:01:35,521 --> 00:01:38,146 Mark's rocket went 150 miles, 45 00:01:38,146 --> 00:01:39,504 we don't know the rate, 46 00:01:39,504 --> 00:01:41,975 and he got there in 2 hours. 47 00:01:41,975 --> 00:01:44,803 Bleebop's rocket went 240 miles, 48 00:01:44,803 --> 00:01:45,925 we don't know the rate, 49 00:01:45,925 --> 00:01:48,142 and the time is 1 hour after Mark, 50 00:01:48,142 --> 00:01:49,758 or 3 hours. 51 00:01:49,758 --> 00:01:52,340 Because we don't know Mark or Bleebop's rate, 52 00:01:52,340 --> 00:01:54,137 that number is going to be a variable 53 00:01:54,137 --> 00:01:55,210 in each equation, 54 00:01:55,210 --> 00:01:57,429 which we'll represent with x. 55 00:01:57,429 --> 00:01:58,257 We'll solve the equation 56 00:01:58,257 --> 00:02:00,568 for the variable to find its value. 57 00:02:01,244 --> 00:02:02,537 Mark finished first, 58 00:02:02,537 --> 00:02:04,061 so start with his rocket. 59 00:02:04,061 --> 00:02:07,425 Remembering DIRT, write down D=RT. 60 00:02:07,425 --> 00:02:11,091 150 miles equals x times 2 hours. 61 00:02:11,091 --> 00:02:13,598 Divide both sides by 2 hours. 62 00:02:13,598 --> 00:02:15,128 This will leave x isolated 63 00:02:15,128 --> 00:02:17,008 on the right side of the equation. 64 00:02:17,008 --> 00:02:19,653 150 miles divided by 2 hours 65 00:02:19,653 --> 00:02:22,452 is 75 miles over 1 hour. 66 00:02:22,452 --> 00:02:25,175 Mark's rate is 75 miles per hour. 67 00:02:25,175 --> 00:02:26,538 That's what mph means. 68 00:02:26,538 --> 00:02:29,436 It's the amount of miles over one hour. 69 00:02:29,436 --> 00:02:31,130 Still think Mark is faster? 70 00:02:31,130 --> 00:02:34,408 Let's set up the same equation for Bleebop and see. 71 00:02:34,408 --> 00:02:36,130 D=RT 72 00:02:36,130 --> 00:02:39,974 240 miles equals x times 3 hours. 73 00:02:39,974 --> 00:02:42,577 Divide both sides by 3 hours. 74 00:02:42,577 --> 00:02:43,913 This will leave x isolated 75 00:02:43,913 --> 00:02:46,746 on the right side of the equation. 76 00:02:46,746 --> 00:02:49,075 240 miles divided by 3 hours 77 00:02:49,075 --> 00:02:50,974 is 80 miles over 1 hour. 78 00:02:50,974 --> 00:02:53,426 Bleebop's rate is 80 miles per hour. 79 00:02:53,426 --> 00:02:56,322 Wow, even though Bleebop got there one hour later, 80 00:02:56,322 --> 00:02:58,264 it turns out he had the faster rocket. 81 00:02:59,125 --> 00:03:00,691 Mark seems pretty upset, 82 00:03:00,691 --> 00:03:03,345 but with aliens, you can never really tell. 83 00:03:03,345 --> 00:03:05,728 Thanks to DIRT, you now know how to calculate 84 00:03:05,728 --> 00:03:06,350 distance, 85 00:03:06,350 --> 00:03:06,807 rate, 86 00:03:06,807 --> 00:03:07,717 and time. 87 00:03:07,717 --> 00:03:08,992 In what other situations 88 00:03:08,992 --> 00:03:11,267 can you use the distance formula? 89 00:03:11,267 --> 00:03:13,583 You don't even need to be watching a space race. 90 00:03:13,583 --> 00:03:15,763 As long as you know two pieces of information 91 00:03:15,763 --> 00:03:18,015 for the formula D=RT, 92 00:03:18,015 --> 00:03:21,033 you can calculate any moving vehicle or object. 93 00:03:21,033 --> 00:03:23,760 Now, the next time you're in a car, 94 00:03:23,760 --> 00:03:24,261 you can let your friends know 95 00:03:24,261 --> 00:03:25,854 exactly when you'll be arriving, 96 00:03:25,854 --> 00:03:27,460 how fast you're going, 97 00:03:27,460 --> 00:03:28,680 or the distance you'll travel. 98 00:03:28,680 --> 00:03:30,604 It's as simple as DIRT.