Question

Fred is training for a cross-country race. At practice last week, he ran 6.25 miles in 1 1/4 hours. At that speed, how long would it take Fred to run 8.5 miles? Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions

Answer 1

Fred ran 6.25 miles in 1.25 hours, making his speed 5 mph. At this speed, running 8.5 miles would take him 1.7 hours or 102 minutes.

Step-by-step explanation:

To determine how long Fred would take to run 8.5 miles at the same speed he practiced, we should first find out his speed per hour during his practice. Fred ran 6.25 miles in 1 1/4 hours (which is the same as 1.25 hours). To find his speed, we divide the distance by the time:

aSpeed = 6.25 miles / 1.25 hours = 5 miles per hour.

Now, using this speed, we want to find out how long it will take Fred to run 8.5 miles. To do this, we divide the distance he wants to run by his speed:

Time = 8.5 miles / 5 mph.

Time = 1.7 hours.

To express this time in minutes, we multiply by 60 (since there are 60 minutes in an hour):

Time in minutes = 1.7 hours × 60 minutes/hour = 102 minutes.

We can leave the time as is, or convert it to a mixed number. To keep it as a decimal is okay since the question allows various forms of answers. Therefore, it would take Fred 1.7 hours or 102 minutes to run 8.5 miles.

Answer 2

To find out how long it would take Fred to run 8.5 miles at the same speed he ran 6.25 miles last week, we set up a proportion and find that it would take him approximately 1.7 hours.

Step-by-step explanation:

To find out how long it would take Fred to run 8.5 miles at the same speed, we can set up a proportion using the given information.

First, we can find Fred's speed in miles per hour. Since he ran 6.25 miles in 1 1/4 hours, we divide 6.25 by 1.25 to get 5 miles per hour.

Next, we set up the proportion: 6.25 miles / 1.25 hours = 8.5 miles / x hours

Cross multiplying, we get: 6.25x = 1.25 * 8.5

Simplifying, we get: 6.25x = 10.625

Dividing both sides by 6.25, we find that: x = 1.7

Therefore, it would take Fred approximately 1.7 hours to run 8.5 miles.