The chapter's best secret
Here it is, the chapter's best secret: on a distance–time graph, the slope IS the speed. Rise is kilometres gained, run is hours spent, so rise over run comes out in kilometres per hour. A steeper line is simply a faster trip — you can rank three cyclists at a glance without computing a thing.
The formula is the slope formula on wheels: — read aloud, v equals d over t — where is the distance travelled (kilometres), is the time it took (hours), and is the speed that comes out, in km/h. Rearranged for whichever piece is hiding: (a speed held for a time covers ground) and (the trip divided by your pace). Keep the units matched — kilometres with hours — and the answers come out as clean as the draws in this lesson.
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