What best can be concluded about the number of times the AC must have either been turned on or the AC
temperature setting been altered between 11:01 pm and 1:59 am?
Started 4 hours ago by Admin in
Explanatory Answer
Following data was captured from the question:
| TIME | TEMPERATURE | AC - ON/OFF | MODE | OUTSIDE TEMP |
|---|---|---|---|---|
| 23:00 | 38 | ON | ||
| 23:30 | 32 | ON | ||
| 00:00 | 26 | OFF | ||
| 00:30 | 31 | ON | ||
| 01:00 | 26 | OFF | ||
| 01:30 | 30 | ON | ||
| 02:00 | 28 |
Since AC is turned OFF at 12:00, it must reach the outside temperature at 12:00 in 1 hour. It rises from 26 degrees to 31 degrees at 12:30 AM (an increase of 5 degrees in 30 minutes). It clearly states that the outside temperature will be 31 + 5 = 36 degree Celsius at 12:00 AM.
Similarly, AC is turned OFF at 1:00 AM, it must reach the outside temperature at 1:00 AM in 1 hour. It rises from 26 degrees to 30 degrees at 1:30 AM (an increase of 4 degrees in 30 minutes). It clearly states that the outside temperature will be 30 + 4 = 34 degree Celsius at 1:00 AM.
Also, temperature outside has been falling at a constant rate from 7 PM onward until 3 AM on a particular night.
| TIME | TEMPERATURE | AC - ON/OFF | MODE | OUTSIDE TEMP |
|---|---|---|---|---|
| 23:00 | 38 | ON | 38 | |
| 23:30 | 32 | ON | 37 | |
| 00:00 | 26 | OFF | NA | 36 |
| 00:30 | 31 | ON | 35 | |
| 01:00 | 26 | OFF | NA | 34 |
| 01:30 | 30 | ON | 33 | |
| 02:00 | 28 | 32 |
The question is "What best can be concluded about the number of times the AC must have either been turned on or the AC temperature setting been altered between 11:01 pm and 1:59 am?"
Solution: We know that the AC got turned ON after 11:01 PM at 12:30 AM and 1:30 AM.
Hence, the answer is 'Exactly 3'
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