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Video: Finding the Total Distance Covered by a Body Moving with Uniform Velocity

Kathryn Kingham

An athlete in training cycles at 15 mph for 3 hours and then walks at 3 mph for another 3 hours. How far do they travel in total?

02:08

Video Transcript

An athlete in training cycles fifteen miles per hour for three hours and walks at three miles per hour for another three hours. How far did the athlete travel in total?

Our athlete is doing two things: cycling and walking. And we wanna know how far the athlete travelled in total. This means we need to add the distance travelled cycling and the distance travelled walking.

Here’s the breakdown: cycling, the athlete went fifteen miles per hour for three hours and walking, three miles per hour for three hours. Fifteen miles per hour means that every hour the cyclist went fifteen miles and our cyclist went for three hours. To find out how far our cyclist went, we need to take the speed fifteen miles per hour and multiply it by the three hours he was cycling.

The athlete training cycled forty-five miles, but we also need to calculate how far the athlete walked. The process will still be the same; we’ll take the speed that the athlete was walking and multiply it by the time that they walked.

In this case, the athlete during training walked at three miles per hour for three hours. We multiply three times three. This tells us that the walking distance was nine miles. When we add forty-five plus nine, we get fifty-four. Don’t forget to add in the units. Here, we’re talking about fifty-four miles. How far did the athlete travel in total? Fifty-four miles.