An elevator descends into a mine shaft at the rate of 6m/min. If the d...
To find the time it takes for the elevator to reach -350m, we can use the formula:
Time = Distance / Speed
Given:
Speed of the elevator = 6m/min
Initial distance = 10m
Final distance = -350m
Step 1: Calculate the total distance the elevator needs to travel
To find the total distance, we need to subtract the initial distance from the final distance:
Total distance = Final distance - Initial distance
Total distance = -350m - 10m
Total distance = -360m
Step 2: Calculate the time it takes to reach the total distance
Now that we have the total distance, we can use the formula to calculate the time:
Time = Distance / Speed
Time = -360m / 6m/min
Time = -60 min
Step 3: Convert the time to hours
Since the given options are in hours, we need to convert the time from minutes to hours:
Time in hours = Time in minutes / 60
Time in hours = -60 min / 60
Time in hours = -1 hour
This means that the elevator takes 1 hour to reach a depth of -350m.
However, it's important to note that the concept of negative time or negative distance does not make sense in this context. The negative sign indicates the direction of the movement (descending), but time and distance should always be positive values. Therefore, we can ignore the negative sign and state that it takes 1 hour for the elevator to reach a depth of 350m below the ground level.