Mr. C is such a mean teacher! The next time Mathias gets in trouble, Mr. C has designed a special detention for him. Mathias will have to go out into the hall and stand exactly meters away from the exit door and pause for a minute. Then he is allowed to walk exactly halfway to the door and pause for another minute. Then he can again walk exactly half the remaining distance to the door and pause again, and so on. Mr. C says that when Mathias reaches the door he can leave, unless he breaks the rules and goes more than halfway, even by a tiny amount. When can Mathias leave?

Question

Mathematics

Matthew Fields

29 May, 20:37

Mr. C is such a mean teacher! The next time Mathias gets in trouble, Mr. C has designed a special detention for him. Mathias will have to go out into the hall and stand exactly meters away from the exit door and pause for a minute. Then he is allowed to walk exactly halfway to the door and pause for another minute. Then he can again walk exactly half the remaining distance to the door and pause again, and so on. Mr. C says that when Mathias reaches the door he can leave, unless he breaks the rules and goes more than halfway, even by a tiny amount. When can Mathias leave?

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Answers (1)

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Joe Hines · Answer 1

Mathias can leave exactly in 5 minutes.

Step-by-step explanation:

the first minute he will stand meters away from the exit door, the second minute he will walk half way to the door, the third minute he will walk half the distance of the half way, the fourth minute will also divide the half distance remaining and the fifth minute he will walk and stand at the door before finally existing.