Intelligence
Logic
Level
pending
A person goes to market between 4:00 PM and 5:00 PM. When he comes back, he finds that the hour hand and minute hand have interchanged. For how much time (approximately) has he been out of his house?
55.38
55.30
55.15
55.25
55.34
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1 solution
Let us suppose that the person status out for 'm'minutes. We know minute hand moves 6degrees in 1 minute . Thus it moves 6m degrees in m minutes . Similarly hour hand moves 1/2 degrees in 1minute . Thus it moves 1/2m degrees in m minutes .
6m+1/2 m= 360 ( since minute and hour hand interchange their positions ) Solving for m , we get m= 55.38 minutes .