Mrs. Richmond's class is on a ferry that is traveling 41 kilometers per hour. The students notice that they are passing right by a fishing boat that is traveling in exactly the opposite direction at 89 kilometers per hour. How long will it be before the two vessels are 6 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Mrs. Richmond's class is on a ferry that is traveling 41 kilometers per hour. The students notice that they are passing right by a fishing boat that is traveling in exactly the opposite direction at 89 kilometers per hour. How long will it be before the two vessels are 6 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Speed: Calculate the combined speed of the ferry and the fishing boat.Speed of ferry: 41 kilometers per hourSpeed of fishing boat: 89 kilometers per hourSince they are traveling in opposite directions, their speeds add up.Combined speed = Speed of ferry + Speed of fishing boatCombined speed = 41+89Combined speed = 130 kilometers per hour
Calculate Time: Calculate the time it takes for the two vessels to be 6 kilometers apart.Distance to be apart: 6 kilometersCombined speed: 130 kilometers per hourTime = Distance / SpeedTime =6/130Time hickapprox60 hours
Convert to Minutes: Convert the time from hours to minutes.Time in hours: 0.04615Minutes in an hour: 60Time in minutes = Time in hours × Minutes in an hourTime in minutes = 0.04615×60Time in minutes ≈2.769, which we round to the nearest minute.Time in minutes ≈3 minutes
Express Time in Hours: Express the time before the two vessels are 6 kilometers apart in hours and minutes.Since the time in hours was less than one hour, it is 0 hours.The time in minutes is 3 minutes.So, it will be 0 hours and 3 minutes before the two vessels are 6 kilometers apart.