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?

Question

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: \[ \boxed{9.6} , \text{km/h} \]