A radar is designed to report the track of an aircraft every second. If this radar reports 30 tracks in one minute, what percentage of the time did the radar track the aircraft?

To determine the percentage of time that the radar successfully tracked the aircraft, we start with understanding that the radar is designed to report once per second. Therefore, in one minute, which is 60 seconds, the radar has the capability to make 60 tracking reports.

The information provided states that the radar reported 30 tracks in that minute. To find out the percentage of time the radar tracked the aircraft, we use the formula for percentage:

[

\text{Percentage} = \left( \frac{\text{Number of Tracks Reported}}{\text{Total Possible Tracks in a Minute}} \right) \times 100

]

Substituting the values:

[

\text{Percentage} = \left( \frac{30}{60} \right) \times 100

]

Calculating this gives:

[

\text{Percentage} = 0.5 \times 100 = 50%

]

Thus, the radar tracked the aircraft 50% of the time during that minute. This demonstrates that the radar was able to report essentially half of the potential tracking opportunities it had in a minute.