One evening, Aakash goes out for a drive, sometime between 4 O'clock and 5 O’clock. When he gets back, sometime between 7 O’clock and 8 O’clock, he noticed that the minute and hour hands have interchanged their positions exactly with what they were when he started out. Approximately how long was his drive?
Explanation:
Since the hands swap positions when he returns
When Aakash goes out hour hand is in between 4 and 5, while minute hand is in between 7 and 8. When Aakash comes in hour hand is in between 7 and 8, while minute hand is in between 4 and 5.
⇒ Aakash left when the time was 4 : (35 - 40), and
He came back when the time was 7 : (20 - 25).
∴ The minimum time Aakash was out would be 2 hours 40 minutes (4:40 till 7:20), and
The maximum time Aakash was out would be 2 hours 50 minutes (4:35 till 7:25)
The possible option for his duration out of home is option (d).
Hence, option (d).
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