WEBVTT
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The given table shows the distance traveled by a bus driving at a constant speed.
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Using this information, determine how far the bus will travel after 10 hours.
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So here in this row, we have the time in hours.
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And then in this row, we have the distance in miles.
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So we read the table by looking at the columns.
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So, for this first column, it’s saying that the bus traveled 142 miles in two hours.
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This column will tell us that the bus traveled 404.7 miles in 5.7 hours.
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And we will follow the same pattern for the last two columns.
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So we’ve been asked to determine how far the bus will travel after 10 hours.
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So, after 10 hours, how many miles did the bus travel?
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We are also told that the bus travels at a constant speed.
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So notice, this question has speed, time, and distance.
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And they’re all through related.
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Speed is equal to the distance divided by the time.
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And we are told that the bus traveled at a constant speed.
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But it didn’t tell us what the constant speed was.
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So we can find that out, because the distance is found in this bottom row and the time is found in the top row.
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So we can use one of these sets to find the speed that has been constant throughout this entire time.
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Let’s use this column.
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So the speed will be equal to the distance, 142 miles, divided by the time, two hours.
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And 142 divided by two is equal to 71.
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So the speed will be 71 miles per hour.
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Now, while we are told that the speed is constant, we can always double-check that during a different time frame that the speed did stay the same, 71 miles per hour.
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Let’s check the speed using this column.
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So we take 404.7 miles and divide it by 5.7 hours.
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And, just as we should, we got 71 miles per hour.
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And being extra careful we could check here.
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And we get 71 miles per hour.
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And lastly here, getting 71 miles per hour.
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So the speed did indeed stay constant this entire time.
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So we know that our constant speed was 71 miles per hour.
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We are asked to determine how far the bus will travel after 10 hours.
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So we’re given a time.
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And we’re asked to determine a distance.
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So let’s rearrange our equation, so we have distance is equal to something.
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If we multiply both sides of the equation by time, we would have solved for distance.
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So we have that distance is equal to speed times time.
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So we can now plug into our equation and solve for the distance that the bus would have traveled after 10 hours.
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So 10 hours will be our time.
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And we’ve found the constant speed of the bus was 71 miles per hour, so we find the distance by taking 71 times 10, which would be 710.
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And this is the distance, so what would be in terms of miles.
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If we would be curious about how the units work out and how we get miles for distance, while the speed was 71 miles per hour and the time was 10 hours.
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Now 71 miles per hour can be rewritten as 71 miles per hour.
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So when we multiply the 71 and 10, we get 710.
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The hours cancel and we’re left with miles.
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Therefore, after 10 hours the bus will travel 710 miles.