Question
Ishi walked a total of 2 miles on a treadmill. He walked at a constant rate of 4 miles per hour. Which expression shows how long, in minutes, Ishi walked on the treadmill?
2.5 miles 4 miles hour 60 minutes 1 hour
2.5 miles x 4 miles hour 60 minutes 1 hour
2.5 miles4 miles hour X 60 minutes 1 hour
2.5 miles x 4 miles 60 minutes hour X 1 hour
Done
2.5 miles 4 miles hour 60 minutes 1 hour
2.5 miles x 4 miles hour 60 minutes 1 hour
2.5 miles4 miles hour X 60 minutes 1 hour
2.5 miles x 4 miles 60 minutes hour X 1 hour
Done
Answers
GPT-4o mini
To find out how long Ishi walked on the treadmill in minutes, we first need to calculate the time in hours using the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]
Ishi walked a total distance of 2 miles at a constant rate of 4 miles per hour. Plugging the numbers into the formula, we have:
\[
\text{Time} = \frac{2 \text{ miles}}{4 \text{ miles/hour}} = 0.5 \text{ hours}
\]
Next, to convert hours into minutes, we multiply by 60 minutes per hour:
\[
\text{Time in minutes} = 0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}
\]
Now, we can express this general calculation in an algebraic form. The expression that represents the time in minutes is:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes/hour}
\]
From your options, if we denote distance as 2.5 miles (it should be 2 miles) and use the rate and conversion to minutes, a suitable expression showing the calculation would look like:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes}
\]
However, since the provided options include 2.5 miles (where it should be 2 miles), none of the provided options correctly represent the solution to the problem.
If we're to correct it to use 2 miles instead, the expression could be:
\[
2 \text{ miles} \times \left( \frac{1 \text{ hour}}{4 \text{ miles}} \right) \times 60 \text{ minutes}
\]
But based on the original problem stating "2 miles", that would yield:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes}
\]
Thus, no provided options are exactly correct with the given distance of 2.5 miles. If the choice must be made among the options, that calculation must be performed using the correct values appropriately.
\[
\text{Time} = \frac{\text{Distance}}{\text{Rate}}
\]
Ishi walked a total distance of 2 miles at a constant rate of 4 miles per hour. Plugging the numbers into the formula, we have:
\[
\text{Time} = \frac{2 \text{ miles}}{4 \text{ miles/hour}} = 0.5 \text{ hours}
\]
Next, to convert hours into minutes, we multiply by 60 minutes per hour:
\[
\text{Time in minutes} = 0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}
\]
Now, we can express this general calculation in an algebraic form. The expression that represents the time in minutes is:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes/hour}
\]
From your options, if we denote distance as 2.5 miles (it should be 2 miles) and use the rate and conversion to minutes, a suitable expression showing the calculation would look like:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes}
\]
However, since the provided options include 2.5 miles (where it should be 2 miles), none of the provided options correctly represent the solution to the problem.
If we're to correct it to use 2 miles instead, the expression could be:
\[
2 \text{ miles} \times \left( \frac{1 \text{ hour}}{4 \text{ miles}} \right) \times 60 \text{ minutes}
\]
But based on the original problem stating "2 miles", that would yield:
\[
\frac{2 \text{ miles}}{4 \text{ miles/hour}} \times 60 \text{ minutes}
\]
Thus, no provided options are exactly correct with the given distance of 2.5 miles. If the choice must be made among the options, that calculation must be performed using the correct values appropriately.