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Two friends are windsurfing at a popular beach. Shawna is paddling out on her board, going miles per hour. At the same time, miles directly in front of Shawna, Peter has caught a big wave and is riding it back in at a rate of miles per hour. In how much time will the two surfers pass each other?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Two friends are windsurfing at a popular beach. Shawna is paddling out on her board, going miles per hour. At the same time, miles directly in front of Shawna, Peter has caught a big wave and is riding it back in at a rate of miles per hour. In how much time will the two surfers pass each other?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Calculate Relative Speed: Determine the relative speed at which Shawna and Peter are moving towards each other.Speed of Shawna: miles per hourSpeed of Peter: miles per hourSince they are moving towards each other, we add their speeds to get the relative speed.Relative speed Speed of Shawna Speed of PeterRelative speed Relative speed miles per hour
- Calculate Passing Time: Calculate the time it will take for them to pass each other.Distance between Shawna and Peter: milesRelative speed: miles per hourTime Distance Relative speedTime miles miles per hourTime hours
- Convert Time to Minutes: Convert the time from hours to minutes.Time in hours: hoursTo convert to minutes, multiply by (since there are minutes in an hour).Time in minutes = hours minutes/hourTime in minutes minutesSince we need to round to the nearest minute, we round minutes to minutes.
