A disabled sailboat is drifting on a current that is moving at 15 kilometers per hour. Fortunately, it's drifting toward a Coast Guard station 75 kilometers away, which picks up the distress call and sends a rescue craft directly toward the sailboat. The rescue craft can travel 53 kilometers per hour. How long will it be before the two vessels meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. A disabled sailboat is drifting on a current that is moving at 15 kilometers per hour. Fortunately, it's drifting toward a Coast Guard station 75 kilometers away, which picks up the distress call and sends a rescue craft directly toward the sailboat. The rescue craft can travel 53 kilometers per hour. How long will it be before the two vessels meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Speed Calculation: We have:Speed of current (sailboat's speed): 15 kilometers per hourSpeed of rescue craft: 53 kilometers per hourFind the combined speed of the sailboat and the rescue craft.Speed of sailboat + Speed of rescue craft = Combined speed15+53=68Combined speed: 68 kilometers per hour
Time Calculation: Combined speed: 68 kilometers per hourIdentify the time taken by the sailboat and rescue craft to cover 75 kilometers.Round your answer to the nearest thousandth.Time = Distance / Combined speed=75/68hickapprox1.102941176 hours
Conversion to Hours and Minutes: Time taken: 1.102941176 hoursIdentify the number of hours and minutes.Round your answer to the nearest minute.In 1.102941176, the number of hours is 1.(1.102941176−1)×60=0.102941176×60≈6.176 minutesRounded to the nearest minute, it is 6 minutes.So, it will be 1 hour and 6 minutes before they meet.