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
31,000 miles
31,000 miles
1,240 miles
1,240 miles
484.375 miles
484.375 miles
19.375 miles
The correct response is 1,240 miles.
To find the distance traveled in 8 hours, we can use the concept of rates. The Acela Express travels at a constant speed, so the rate of travel remains the same.
In 5 hours, the train traveled 775 miles.
To find the rate at which the train is traveling, we can divide the distance traveled by the time taken.
Rate = Distance / Time
Rate = 775 miles / 5 hours
Rate = 155 miles/hour
Now, we can use the rate of 155 miles/hour to find the distance traveled in 8 hours.
Distance = Rate * Time
Distance = 155 miles/hour * 8 hours
Distance = 1,240 miles
Therefore, the Acela Express traveled 1,240 miles in 8 hours.
To find out how far the Acela Express traveled in 8 hours, we can use a proportion to set up a ratio of time to distance.
First, let's set up the known ratio of time to distance:
5 hours = 775 miles
Next, we can set up the unknown ratio using the same relationship:
8 hours = x miles
To solve for x, we can cross multiply and then divide:
5 hours * x miles = 775 miles * 8 hours
5x = 6200
x = 1240
Therefore, the Acela Express traveled 1,240 miles in 8 hours.