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A bus takes 8 hours to cover a distance of $320 mathrm{~km}$. What is the average speed of the bus?...

Question

A bus takes 8 hours to cover a distance of $320 mathrm{~km}$. What is the average speed of the bus?

A bus takes 8 hours to cover a distance of $320 mathrm{~km}$. What is the average speed of the bus?



Answers

In Exercises 39–42, use the formula
$$=\frac{\text { Distance traveled }}{\text { Average velocity }}$$
A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles. If the average velocity of the bus is 20 miles per hour slower than the average velocity of the car, find the average velocity for each.

In this Krystle, a plane flies with the wind. It travels on the mouse in five hours when the plane flies in the opposite direction. I convinced the windiest takes eight hours to fly the same distance. Find two things. One the average velocity off the plane in studio in, then second B average velocity off the wheel himself. So this guy leave. Ah, what we have in starts. Uh, if it's, uh, with the winds with the wheel, it's it travels 800 miles. You. Hi, Alice. Our guest list. He travels 800 mouths in a jos. So when it's ah, overage, they don't see it, do you? In the still air. So if you'd struggle in units to a it's ah, firstly, one today, the lost city, its velocity. It's average velocity, my men. It's a lost city. Ah, in wheels, which is 800 miles divided by five. Which is why I've been to swelling toe guarantees at six under 60 miles. Yeah. Oh, all right, Benny. They lost it too. Our guest is It wants to a dozen boats divided by eight, which is a ghost now. Yeah. Oh, all right. So average is Liz I'm a bit cruel. Velocities divided by two when she is are 262 which is under the 30. So the average is under the pit miles out, then the average velocity off the windy. So we now use the average speeds. If we want to find the you lost it off the wheels. So it's 160 minus hundreds divided by two, which is 60 that by two, which is 30 now. What's all this? Speed off the windiest it mounts. Pair well.

Tell everyone we have an airplane traveling at an average velocity of 640 uh kilometers per hour, and we want to see how far it travels. Um, in three hours and 24 minutes and we want to solve this using an air problem. So how far does it travel? So let's draw a graph. Um, that's a bad drawing. There we go. And on the x axis, we have time in hours time in hours, one hour, two hours, three hours. And, uh, let's see, right over here eyes are 24 minute mark 24 over 60 to these three hours, two hours, one hours, and then this is going to be on rate to the rate averaged. That airplane is flying and it just at 64 640 kilometers an hour average. And so the graph for the velocity is just going to be straight at 640 Um, so if you want to see how far it's traveled in three hours and 24 minutes, we have to we're gonna turn this into a bunch of rectangles and find the area underneath the curve. So we've got one here another rectangle here, Another one here and the 4th 1 over here. So now we're going to calculate the area as we would anything else. So the area of this first rectangle is 640 second one's also 643rd one's also 640 because the base is just one for each of these. But the last one has a base of 24 over 60. Because it's 24 minutes, this is going to be 24 over 60 time. 640 is going to be the area because this this is the base. This is the height. So this gives us an area of but of 256. So this is going to be 256. So the area under the curve up to three hours and 24 minutes is going to be 640 times three plus 256 to give us an answer to 176 kilometers. So this is also the same thing as the distance traveled. So they for watching. And I hope this helped

Question to ask us, what's the average velocity? Uh, automobile That goes 540 kilograms kilometers in four hours and 30 minutes. Um, so basically, what we're looking at here is the for average rate of change. So the average velocity. Okay, we're gonna find that by doing distance, OK? Divided by the time. So get a unit, kilometers, kilometers per hour. Now, a tricky little thing about this is about four hours and 30 minutes. We need to make sure that we switch everything in this. Eight units was before 80.5 hours. And then all we need to do is to divide 540 kilometers divided by four point fires hours which ends up giving you 120 kilometers our right

This question says that a truck travel on average speed of 50 miles an hour, uh, 200 mile trip on the return trip. The average rate is 42 miles an hours finally average speed for the round trip, so the average speed is just a total time and the total distance traveled. So time is distance divided by loss of your speed. So we take 200 divided by 50. We're going to get a total time there of four okay hours and then on the way back it says the distance is 200 miles still, but now you're going 42 miles an hour. The 200 divided by 42 is 4.76 hours. So now my average speed is gonna be distance divided by the time the distance is 400 miles and we're dividing by 8.76 so 400 by the by 8.76 And that gives me about 45.66 MPH as my average speed for the whole trip


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