Question

A car travels 50 miles to the east, stops, and then travels another 75 miles to the east. A car travels 200 miles to the west, turns around, and then travels 300 miles to the east. A car travels 200 miles to the west, stops, and then travels another 300 miles to the west. A car travels 50 miles to the east, turns around, and then travels 75 miles to the west.

          A car travels 50 miles to the east, stops, and then travels another 75 miles to the east.
A car travels 200 miles to the west, turns around, and then travels 300 miles to the east.
A car travels 200 miles to the west, stops, and then travels another 300 miles to the west.
A car travels 50 miles to the east, turns around, and then travels 75 miles to the west.
        
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A car travels 50 miles to the east, stops, and then travels another 75 miles to the east.
A car travels 200 miles to the west, turns around, and then travels 300 miles to the east.
A car travels 200 miles to the west, stops, and then travels another 300 miles to the west.
A car travels 50 miles to the east, turns around, and then travels 75 miles to the west.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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A car travels 50 miles to the east, stops, and then travels another 75 miles to the east. A car travels 200 miles to the west, turns around, and then travels 300 miles to the east. A car travels 200 miles to the west, stops, and then travels another 300 miles to the west. A car travels 50 miles to the east, turns around, and then travels 75 miles to the west. A car travels 50 miles to the east, stops, and then travels another 75 miles to the east. A car travels 200 miles to the west, turns around, and then travels 300 miles to the east. A car travels 200 miles to the west, stops, and then travels another 300 miles to the west. A car travels 50 miles to the east, turns around, and then travels 75 miles to the west.
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Transcript

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00:01 Two cars leave from the same point at the same time.
00:05 One car is traveling north.
00:08 The other is going east.
00:11 So i'm going to let this be x and that be y.
00:16 I want to know the rate the distance between them is changing.
00:21 So i'm going to relate the variables first.
00:24 So i have x squared plus y squared is c squared.
00:27 I'm going to take the derivative with respect to time.
00:37 And since i'm solving for dc dt, i'm going to divide everything by 2c.
00:43 So dc dt is x dx dt plus y dy dt over c.
00:53 Okay.
00:57 The first car, which is the northern car, is traveling 100 miles per hour.
01:03 So i know dy dt is 100.
01:07 The second car going to the east is going 10 miles per hour...
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