how long will it take to walk 3 1/2 miles at a rate of 2 1/2 miles per hour
distance= rate*time
3.5=2.5*time
solve for time
time = distance/speed
= 3.5/2.5 = ....
To calculate how long it will take to walk a certain distance at a given rate, you can use the formula:
Time = Distance / Rate
Given that the distance is 3 1/2 miles and the rate is 2 1/2 miles per hour, let's calculate the time it will take to walk this distance.
First, convert the mixed numbers (3 1/2 and 2 1/2) into improper fractions to make calculations easier:
3 1/2 = (2 * 3 + 1) / 2 = 7/2
2 1/2 = (2 * 2 + 1) / 2 = 5/2
Now let's plug in the values into the formula:
Time = 7/2 miles / 5/2 miles per hour
Dividing two fractions is equivalent to multiplying the first fraction by the reciprocal of the second fraction:
Time = (7/2) * (2/5)
Multiply the numerators and denominators:
Time = (7 * 2) / (2 * 5)
= 14 / 10
Simplify the fraction if needed:
Time = 7/5
Therefore, it will take 7/5 hours to walk 3 1/2 miles at a rate of 2 1/2 miles per hour.
As a decimal, 7/5 hours is equivalent to 1.4 hours or 1 hour and 24 minutes.