Question

2. Suppose we represent the distance above the ground by a positive integer and that
below the ground by a negative integer. If an elevator descends at a rate of 5m/min and
begins to descend from 15 m above the ground, what will be its position after 45 minutes?

Answer 1

Given:

The elevator descends at a rate of 5 m/min and begins to descend from 15 m above the ground.

To find: The position of the elevator after 45 minutes.

Solution:

The elevator descends at a rate of 5 m/min, i.e., it goes 5 m downwards in 1 minute.

So in 45 minutes, it goes

= 45 * 5 m

= 225 m downwards

Its current position is at

= 15 - 225 m

= - 210 m

i.e., 210 m below the ground.

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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?

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