Barbara is kayaking on a river in Clinton County, moving down the river at a speed of 8 miles per hour. Meanwhile, Levi is on a jet ski 5 miles away, moving up the river at 27 miles per hour. How long will it be before the two meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Barbara is kayaking on a river in Clinton County, moving down the river at a speed of 8 miles per hour. Meanwhile, Levi is on a jet ski 5 miles away, moving up the river at 27 miles per hour. How long will it be before the two meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: Calculate the combined speed of Barbara and Levi.Barbara's speed: 8 miles per hour (down the river)Levi's speed: 27 miles per hour (up the river)Since they are moving towards each other, we add their speeds to find the combined speed.Combined speed = Barbara's speed + Levi's speedCombined speed = 8 mph + 27 mphCombined speed = 35 mph
Calculate Meeting Time: Calculate the time it will take for Barbara and Levi to meet.They are 5 miles apart, and we need to find the time it takes to cover this distance at their combined speed.Time = Distance / SpeedTime =5 miles /35 miles per hourTime hickapprox0.1429 hours
Convert to Minutes: Convert the time from hours to minutes.Since there are 60 minutes in an hour, we multiply the time in hours by 60 to find the time in minutes.Time in minutes = Time in hours ×60 minutes per hourTime in minutes ≈0.1429 hours ×60 minutes per hourTime in minutes ≈8.57 minutes
Round to Nearest Minute: Round the time to the nearest minute.Time in minutes ≈8.57 minutesRounded time = 9 minutes (since 0.57 is closer to 1 than to 0)
Express in Hours and Minutes: Express the time in hours and minutes.Since the time is less than one hour, the number of hours is 0.Final time = 0 hours and 9 minutes