Question

juan walks 3.5 miles in 56 minutes. how long will it take him to walk 1 mile? a 6 minutes b 8 minutes c 12 minutes d 16 minutes e 10 minutes

Explanation:

Step1: Identify the problem type

This is a rate - time - distance problem where we need to find the time per mile. The formula for rate is \(rate=\frac{distance}{time}\), and to find the time for 1 mile, we can use the formula \(time\ per\ mile=\frac{total\ time}{total\ distance}\).

Step2: Plug in the values

We know that the total distance \(d = 3.5\) miles and the total time \(t=56\) minutes. So we calculate the time per mile as \(\frac{56}{3.5}\).

Step3: Perform the division

\(3.5\times16 = 56\), so \(\frac{56}{3.5}=16\)? Wait, no, wait. Wait, 3.5 miles in 56 minutes. Let's do the division correctly. \(56\div3.5\). We can multiply numerator and denominator by 2 to eliminate the decimal: \(\frac{56\times2}{3.5\times2}=\frac{112}{7} = 16\)? Wait, no, that's not right. Wait, maybe I made a mistake. Wait, 3.5 miles is the same as \(\frac{7}{2}\) miles. So time per mile is \(56\div\frac{7}{2}=56\times\frac{2}{7}=16\)? But looking at the options, option D is 16 minutes. Wait, but let's check again. Wait, 3.5 miles in 56 minutes. So for 1 mile, time \(t=\frac{56}{3.5}\). Let's compute \(3.5\times16 = 56\), so \(56\div3.5 = 16\).

Answer:

D. 16 minutes