Suppose we represent the distance above the ground by a positive integer and that below the ground by a negative integer.An elevator descends into a mine shaft @5m per minute. If it begins to descend from 15m above the ground.what will be its position after 17 minutes?
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Question
Suppose we represent the distance above the ground by a positive integer and that below the ground by a negative integer, then answer the following:
(i) An elevator descends into a mine shaft at the rate of 5 metre per minute. What will be its position after one hour?
(ii) If it begins to descend from 15 m above the ground, what will be its position after 45 minutes?
Answer
Since the elevator is going down, so the distance covered by it will be represented by a negative integer.
Change in position of the elevator in one minute = – 5 m
Position of the elevator after 60 minutes = (–5) × 60 = – 300 m, i.e., 300 m below down from the starting position of elevator.
(ii) Change in position of the elevator in 45 minutes = (–5) × 45 = –225 m, i.e., 225 m below ground level.
So, the final position of the elevator = –225 + 15 = –210 m, i.e., 210 m below ground level.
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