Question

Robert runs 25 miles. His average speed is 7.4 miles per hour. He takes a break after 13.9 miles. How many more hours does he run? Show your work

Answer 1

Answer: Robert runs for approximately 1.50 more hours after taking a break.

Explanation:

To find out how many more hours Robert runs after taking a break, we need to determine the time it takes for him to run the remaining distance.

We know that Robert runs a total of 25 miles and his average speed is 7.4 miles per hour. To find the time it takes for him to run the entire 25 miles, we can use the formula:

Time = Distance / Speed

Time = 25 miles / 7.4 miles per hour

Time ≈ 3.38 hours

Since Robert takes a break after running 13.9 miles, we need to subtract the time it took him to run that distance from the total time.

To find the time it took him to run 13.9 miles, we can use the formula:

Time = Distance / Speed

Time = 13.9 miles / 7.4 miles per hour

Time ≈ 1.88 hours

Now, we can subtract the time for the break from the total time to find how many more hours Robert runs:

Remaining time = Total time - Time for the break

Remaining time ≈ 3.38 hours - 1.88 hours

Remaining time ≈ 1.50 hours

Therefore, Robert runs for approximately 1.50 more hours after taking a break.

Answer 2

1.5 hours more

Explanation:

In order to find out how many more hours Robert runs, we need to find the total time it takes him to run 25 miles. We can do this by dividing the total distance by his average speed.

`\sf \textsf{Total time }= \frac{\textsf{Total distance }}{\textsf{ Average speed}}`

`\sf \textsf{Total time }=\frac{ 25 miles }{7.4\textsf{ miles per hour}}`

`\sf \textsf{ Total time = 3.378378378378378 hours}`

We already know that Robert takes a break after 13.9 miles. This means that he runs for:

`\sf \textsf{25 miles - 13.9 miles = 11.1 miles after his break}`

And to find out how many hours Robert runs after his break, we need to divide the distance he runs after his break by his average speed.

`\sf \textsf{Time after break } =\frac{\textsf{ Distance after break }}{\textsf{Average speed}}`

`\sf \textsf{Time after break CD call }=\frac{ 11.1 miles }{\textsf{ 7.4 miles per hour}}`

`\sf \textsf{Time after break = 1.5 hours}`

Therefore, Robert runs for 1.5 hours more after his break.