0:00:06.280,0:00:07.799 Do you have a friend or a sibling 0:00:07.799,0:00:09.277 that's always competing with you 0:00:09.277,0:00:11.294 to see who's the fastest? 0:00:11.294,0:00:13.433 Our alien friends Bleebop and Mark 0:00:13.433,0:00:14.655 are having the same debate 0:00:14.655,0:00:16.348 with their custom-built rockets, 0:00:16.348,0:00:17.438 and they've asked us 0:00:17.438,0:00:20.188 to be the judge of a space race to their moon. 0:00:20.188,0:00:22.017 The only problem is that they are starting 0:00:22.017,0:00:23.648 from different asteroids. 0:00:23.648,0:00:27.287 Bleebop is on an asteroid 240 miles from the moon, 0:00:27.287,0:00:30.524 and Mark is on one 150 miles away. 0:00:30.524,0:00:32.820 Don't worry, it's not rocket science. 0:00:32.820,0:00:36.297 Solving this equation is as simple as DIRT. 0:00:36.297,0:00:37.739 We can decide who the winner is 0:00:37.739,0:00:41.250 using the D=RT formula, or DIRT. 0:00:41.250,0:00:44.748 This stands for distance equals rate times time. 0:00:44.748,0:00:46.650 In the case of Bleebop and Mark, 0:00:46.650,0:00:48.728 we will only know the distance they traveled 0:00:48.728,0:00:50.008 and the time it took for them 0:00:50.008,0:00:51.293 to get to the finish line. 0:00:51.293,0:00:52.966 It'll be up to us to find the rate 0:00:52.966,0:00:54.768 and who is faster. 0:00:54.768,0:00:56.213 Let's turn to the race now 0:00:56.213,0:00:57.938 and see what information we get. 0:00:58.614,0:00:59.566 Three, 0:00:59.566,0:01:00.654 two, 0:01:00.654,0:01:01.801 one, 0:01:01.801,0:01:03.187 blast off! 0:01:03.618,0:01:05.349 Bleebop and Mark's rockets go zipping 0:01:05.349,0:01:07.444 across the galaxy towards their moon, 0:01:07.444,0:01:08.898 dodging clunky meteorites 0:01:08.898,0:01:11.197 and loopy space buggies. 0:01:11.197,0:01:13.727 After a few close calls with a wandering satellite, 0:01:13.727,0:01:16.640 Mark arrives first in two hours, 0:01:16.640,0:01:19.362 and Bleebop gets there one hour later. 0:01:19.362,0:01:21.447 Looks like Mark has the faster rocket, 0:01:21.447,0:01:24.526 but let's check out the results with our DIRT equation. 0:01:24.526,0:01:26.568 Begin by setting up a chart. 0:01:26.568,0:01:28.691 Make four columns and three rows. 0:01:28.691,0:01:31.214 Use DIRT to remember what to fill in. 0:01:31.214,0:01:33.054 Each rocket will have information 0:01:33.054,0:01:35.521 for distance, rate, and time. 0:01:35.521,0:01:38.146 Mark's rocket went 150 miles, 0:01:38.146,0:01:39.504 we don't know the rate, 0:01:39.504,0:01:41.975 and he got there in 2 hours. 0:01:41.975,0:01:44.803 Bleebop's rocket went 240 miles, 0:01:44.803,0:01:45.925 we don't know the rate, 0:01:45.925,0:01:48.142 and the time is 1 hour after Mark, 0:01:48.142,0:01:49.758 or 3 hours. 0:01:49.758,0:01:52.340 Because we don't know Mark or Bleebop's rate, 0:01:52.340,0:01:54.137 that number is going to be a variable 0:01:54.137,0:01:55.210 in each equation, 0:01:55.210,0:01:57.429 which we'll represent with x. 0:01:57.429,0:01:58.257 We'll solve the equation 0:01:58.257,0:02:00.568 for the variable to find its value. 0:02:01.244,0:02:02.537 Mark finished first, 0:02:02.537,0:02:04.061 so start with his rocket. 0:02:04.061,0:02:07.425 Remembering DIRT, write down D=RT. 0:02:07.425,0:02:11.091 150 miles equals x times 2 hours. 0:02:11.091,0:02:13.598 Divide both sides by 2 hours. 0:02:13.598,0:02:15.128 This will leave x isolated 0:02:15.128,0:02:17.008 on the right side of the equation. 0:02:17.008,0:02:19.653 150 miles divided by 2 hours 0:02:19.653,0:02:22.452 is 75 miles over 1 hour. 0:02:22.452,0:02:25.175 Mark's rate is 75 miles per hour. 0:02:25.175,0:02:26.538 That's what mph means. 0:02:26.538,0:02:29.436 It's the amount of miles over one hour. 0:02:29.436,0:02:31.130 Still think Mark is faster? 0:02:31.130,0:02:34.408 Let's set up the same equation for Bleebop and see. 0:02:34.408,0:02:36.130 D=RT 0:02:36.130,0:02:39.974 240 miles equals x times 3 hours. 0:02:39.974,0:02:42.577 Divide both sides by 3 hours. 0:02:42.577,0:02:43.913 This will leave x isolated 0:02:43.913,0:02:46.746 on the right side of the equation. 0:02:46.746,0:02:49.075 240 miles divided by 3 hours 0:02:49.075,0:02:50.974 is 80 miles over 1 hour. 0:02:50.974,0:02:53.426 Bleebop's rate is 80 miles per hour. 0:02:53.426,0:02:56.322 Wow, even though Bleebop got there one hour later, 0:02:56.322,0:02:58.264 it turns out he had the faster rocket. 0:02:59.125,0:03:00.691 Mark seems pretty upset, 0:03:00.691,0:03:03.345 but with aliens, you can never really tell. 0:03:03.345,0:03:05.728 Thanks to DIRT, you now know how to calculate 0:03:05.728,0:03:06.350 distance, 0:03:06.350,0:03:06.807 rate, 0:03:06.807,0:03:07.717 and time. 0:03:07.717,0:03:08.992 In what other situations 0:03:08.992,0:03:11.267 can you use the distance formula? 0:03:11.267,0:03:13.583 You don't even need to be watching a space race. 0:03:13.583,0:03:15.763 As long as you know two pieces of information 0:03:15.763,0:03:18.015 for the formula D=RT, 0:03:18.015,0:03:21.033 you can calculate any moving vehicle or object. 0:03:21.033,0:03:23.760 Now, the next time you're in a car, 0:03:23.760,0:03:24.261 you can let your friends know 0:03:24.261,0:03:25.854 exactly when you'll be arriving, 0:03:25.854,0:03:27.460 how fast you're going, 0:03:27.460,0:03:28.680 or the distance you'll travel. 0:03:28.680,0:03:30.604 It's as simple as DIRT.