Question

Malik has a running trail near his house, and he typically runs the same route of 4 kilometers several times per week. The other day, he ran the route in 30 minutes. Yesterday, he managed a time of 20 minutes. What was Malik's average speed for the two runs?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
kilometers per hour

Answer 1

To calculate Malik's average speed for his two runs, we first need to determine the total distance he ran and the total time he took for both runs.

**Distance of one run:** 4 kilometers

**First run:**
- Time = 30 minutes
- Distance = 4 kilometers

**Second run:**
- Time = 20 minutes
- Distance = 4 kilometers

**Total distance for two runs:**
\[
\text{Total Distance} = 4 \, \text{km} + 4 \, \text{km} = 8 \, \text{km}
\]

**Total time for two runs:**
Convert the time from minutes to hours:
- First run: \(30 \, \text{minutes} = \frac{30}{60} = 0.5 \, \text{hours}\)
- Second run: \(20 \, \text{minutes} = \frac{20}{60} \approx 0.3333 \, \text{hours}\)

Now calculate the total time:
\[
\text{Total Time} = 0.5 \, \text{hours} + 0.3333 \, \text{hours} = 0.8333 \, \text{hours}
\]

Now, we can find the average speed using the formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{8 \, \text{km}}{0.8333 \, \text{hours}} \approx 9.6 \, \text{km/h}
\]

Thus, Malik's average speed for the two runs is approximately:
\[
\boxed{9.6} \, \text{km/h}
\]