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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 feet per minute. The second is headed down at a speed of feet per minute. How long will it be before the elevators are feet 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 feet per minute. The second is headed down at a speed of feet per minute. How long will it be before the elevators are feet apart? If necessary, round your answer to the nearest second.____ minutes and ____ seconds
- Calculate combined speed: Calculate the combined speed of the two elevators.Since one group is going up and the other is going down, their speeds add up when calculating how quickly they are separating.Speed of first elevator: feet per minuteSpeed of second elevator: feet per minuteCombined speed = Speed of first elevator + Speed of second elevatorCombined speed = Combined speed = feet per minute
- Determine time for separation: Determine the time it takes for the elevators to be feet apart.We can use the formula to find out how long it will take for the elevators to be feet apart. feet feet per minute minutes
- Convert time to minutes and seconds: Convert the time from minutes to minutes and seconds.Since we have a decimal in minutes, we need to convert the fraction of a minute into seconds. minutes seconds/minute secondsWe round this to the nearest second to get approximately seconds.So, the time is about minute and seconds.
