A Coast Guard rescue craft just picked up the captain of a disabled sailboat. The rescue craft is now heading back to shore at a rate of 48 miles per hour. Meanwhile, the sailboat is drifting in the other direction at 3 miles per hour. How long will it be before the rescue craft is 41 miles from the sailboat?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. A Coast Guard rescue craft just picked up the captain of a disabled sailboat. The rescue craft is now heading back to shore at a rate of 48 miles per hour. Meanwhile, the sailboat is drifting in the other direction at 3 miles per hour. How long will it be before the rescue craft is 41 miles from the sailboat?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: Determine the combined rate at which the distance between the rescue craft and the sailboat is increasing.Since the rescue craft is moving away from the sailboat, we add their speeds to find the rate at which the distance between them increases.Speed of rescue craft: 48 miles per hourSpeed of sailboat: 3 miles per hourCombined speed = Speed of rescue craft + Speed of sailboatCombined speed = 48+3=51 miles per hour
Find Time to Cover Distance: Calculate the time it will take for the rescue craft to be 41 miles away from the sailboat.We use the formula Time=SpeedDistance to find the time it will take for the rescue craft to be 41 miles away from the sailboat.Distance to be covered: 41 milesCombined speed: 51 miles per hourTime=Combined speedDistanceTime=5141Time≈0.8039 hours
Convert Time to Minutes: Convert the time from hours to minutes and round to the nearest minute if necessary.To convert hours to minutes, we multiply by 60.Time in minutes = Time in hours ×60Time in minutes ≈0.8039×60Time in minutes ≈48.234 minutesSince we need to round to the nearest minute, the time is approximately 48 minutes.