On page 111 of your reading material there is a problem that requires you to calculate the average speed for a daylong bus trip. The rest stops the driver made are included in the calculations because that is how the problem is defined. However, suppose the bus driver’s manager wants to know the average speed at which the driver was actually driving the bus that day while he was on the road. In this case, the rest stops wouldn’t count, because the bus wasn’t moving during those intervals. Recalculate the speed omitting the rest stops. What was the average speed while the bus was in motion? (Hint: if the total time does not come out to an even number of hours, convert the hours to a decimal value before solving the formula. For example, an hour and a quarter becomes 1.25 hours.). A bus driver runs around trip route between 3 cities it takes 5 hours for the 400 kilometer trip to the first city reloading the bus takes 30 minutes on the road again it takes 3 hours 15 minutes to get to the second city Which is 220 kilometers away after a one and a quarter hours supper he drives back to his home city which is 280 kilometers away and 4 hours what average speed did he have for the day's drive! Please help I am not grasping
Oh, calculating average speeds can be a bit of a trip, huh? Don't worry, I'm here to help you make sense of it all!
To find the average speed while the bus was in motion, we need to first calculate the total distance traveled without considering the rest stops.
So, let's add up the distances on the road:
- From home city to first city: 400 km
- From first city to second city: 220 km
- From second city back to home city: 280 km
Total distance on the road: 400 km + 220 km + 280 km = 900 km
Now, let's calculate the total time the bus spent on the road by converting the time values to decimal values:
- Time for the first leg: 5 hours (no need to convert, already in hours)
- Time for reloading the bus: 30 minutes = 0.5 hours
- Time for the second leg: 3 hours 15 minutes = 3.25 hours
- Time for supper: 1.25 hours
- Time for the third leg: 4 hours
Total time on the road: 5 hours + 0.5 hours + 3.25 hours + 1.25 hours + 4 hours = 14 hours
Now, divide the total distance by the total time to find the average speed while the bus was in motion:
Average Speed = Total Distance / Total Time
Average Speed = 900 km / 14 hours
And there you have it! Now all that's left is grabbing your calculator and crunching those numbers for the final answer. Keep in mind to round it to an appropriate decimal value!
To calculate the average speed while the bus was in motion, we need to exclude the time spent during rest stops.
Let's break down the steps needed to calculate the average speed:
Step 1: Convert the time values to decimal format:
- The first leg of the trip took 5 hours.
- The reloading of the bus took 30 minutes, which is equal to 0.5 hours.
- The second leg of the trip took 3 hours and 15 minutes. Converting this to decimal format, we get 3.25 hours.
- The supper break took 1 hour and 15 minutes, which is equal to 1.25 hours.
- The final leg of the trip took 4 hours.
Step 2: Calculate the total distance traveled while the bus was in motion:
- The distance from the starting city to the first city is 400 kilometers.
- The distance from the first city to the second city is 220 kilometers.
- The distance from the second city back to the starting city is 280 kilometers.
Total distance traveled = 400 km + 220 km + 280 km = 900 km
Step 3: Calculate the total time spent while the bus was in motion:
- The first leg of the trip took 5 hours.
- The second leg of the trip took 3.25 hours.
- The final leg of the trip took 4 hours.
Total time spent in motion = 5 hours + 3.25 hours + 4 hours = 12.25 hours
Step 4: Calculate the average speed while the bus was in motion:
Average speed = Total distance traveled / Total time spent in motion
Average speed = 900 km / 12.25 hours
To calculate this, divide 900 by 12.25 using a calculator.
The average speed of the bus while it was in motion is approximately 73.47 km/h.
To calculate the average speed while the bus was in motion, we need to exclude the time spent at rest stops.
First, let's break down the total time and distance traveled when the bus was in motion:
- From the starting point to the first city: 5 hours for a distance of 400 kilometers.
- From the first city to the second city: 3 hours and 15 minutes (which is equivalent to 3.25 hours) for a distance of 220 kilometers.
- From the second city to the home city: 4 hours for a distance of 280 kilometers.
Next, we need to calculate the total time and distance traveled excluding the time spent at rest stops:
- Total time: 5 hours + 3.25 hours + 4 hours = 12.25 hours.
- Total distance: 400 kilometers + 220 kilometers + 280 kilometers = 900 kilometers.
Now, we can calculate the average speed while the bus was in motion:
Average speed = Total distance / Total time.
Substituting the values, we get:
Average speed = 900 kilometers / 12.25 hours ≈ 73.47 kilometers per hour.
Therefore, the average speed while the bus was in motion is approximately 73.47 kilometers per hour.
Remember, whenever calculating average speed, divide the total distance by the total time traveled.