In 5 hours the Acela Express, the fastest train in North America, traveled 775 miles. How far did it travel in 8 hours?(1 point)
Responses
484.375 miles
484.375 miles
19.375 miles
19.375 miles
31,000 miles
31,000 miles
1,240 miles
To find out how far the Acela Express traveled in 8 hours, we can use the concept of proportionality.
If in 5 hours the train traveled 775 miles, then in 1 hour it would travel 775 miles/5 hours = 155 miles/hour.
Since we want to find out how far it traveled in 8 hours, we can multiply the speed of the train (155 miles/hour) by the number of hours (8 hours).
Distance traveled = Speed x Time
Distance traveled = 155 miles/hour x 8 hours
Distance traveled = 1240 miles
Therefore, the Acela Express traveled 1240 miles in 8 hours.
To find out how far the Acela Express traveled in 8 hours, we can set up a proportion based on its speed:
5 hours ---- 775 miles
8 hours ---- x miles
To solve for x, we can cross-multiply and divide:
8 hours * 775 miles = 5 hours * x miles
6,200 miles = 5x
Divide both sides by 5:
6,200 miles / 5 = x
x = 1,240 miles
Therefore, the Acela Express traveled 1,240 miles in 8 hours.
To calculate the distance the Acela Express traveled in 8 hours, we can use the concept of average speed. Average speed is calculated by dividing the total distance traveled by the total time taken.
In this case, we know that in 5 hours, the Acela Express traveled 775 miles. To find the average speed, we divide the distance by the time:
Average speed = Distance / Time
Average speed = 775 miles / 5 hours
Average speed = 155 miles per hour
Now that we have the average speed, we can use it to find the distance traveled in 8 hours. We multiply the average speed by the time:
Distance = Average speed * Time
Distance = 155 miles per hour * 8 hours
Distance = 1240 miles
Therefore, the Acela Express traveled 1240 miles in 8 hours.