Calculate Average Speed: Converting 1½ km in 3 Minutes to Kilometers per Minute

Question

Joel ran 112 1\frac{1}{2} km in 3 minutes.

How many kilometers did Joel travel on average each minute?

Video Solution

Step-by-Step Solution

To find out how many kilometers Joel ran on average each minute, we begin with these steps:

  • Step 1: Convert the mixed number 112 1\frac{1}{2} km into an improper fraction. The mixed number represents 1 full unit plus half a unit, which is calculated as:

112=1+12=32 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{3}{2} km

  • Step 2: Use the average formula to calculate the distance per minute:

Average distance per minute=32 km3 minutes \text{Average distance per minute} = \frac{\frac{3}{2} \text{ km}}{3 \text{ minutes}}

Simplifying this expression involves dividing fractions:

323=32×13=32×3=36=12 \frac{\frac{3}{2}}{3} = \frac{3}{2} \times \frac{1}{3} = \frac{3}{2 \times 3} = \frac{3}{6} = \frac{1}{2} km per minute

Therefore, Joel traveled, on average, 12 \frac{1}{2} km per minute. This matches the provided correct answer, confirming choice 4 is correct.

Answer

12 \frac{1}{2}