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Two groups of tourists are on the same floor of a skyscraper they are visiting, and they board adjacent elevators at the same time. The first group is headed up at a speed of meters per minute. The second is headed down at a speed of meters per minute. How long will it be before the elevators are meters apart? If necessary, round your answer to the nearest second.____ minutes and ____ seconds
Full solution
Q. Two groups of tourists are on the same floor of a skyscraper they are visiting, and they board adjacent elevators at the same time. The first group is headed up at a speed of meters per minute. The second is headed down at a speed of meters per minute. How long will it be before the elevators are meters apart? If necessary, round your answer to the nearest second.____ minutes and ____ seconds
- Calculate Combined Speed: Calculate the combined speed of the two elevators moving in opposite directions.Speed of first elevator: meters per minuteSpeed of second elevator: meters per minuteCombined speed = Speed of first elevator + Speed of second elevatorCombined speed = Combined speed = meters per minute
- Determine Time Apart: Determine the time it takes for the elevators to be meters apart using the combined speed.Distance to be apart = metersTime = Distance / Combined speedTime = Time minutes
- Convert Time to Seconds: Convert the time from minutes to minutes and seconds. minutes is the same as seconds. secondsSince we need to round to the nearest second, we get approximately seconds.
- Final Time Calculation: Since the time in minutes is less than one minute, we only have seconds to consider.Therefore, the elevators will be meters apart in minutes and seconds.
