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Some sailors are traveling due west in a lifeboat moving kilometers per hour. A rescue boat is coming due east toward them at kilometers per hour. If the boats are currently kilometers apart, how long will it be before they meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Some sailors are traveling due west in a lifeboat moving kilometers per hour. A rescue boat is coming due east toward them at kilometers per hour. If the boats are currently kilometers apart, how long will it be before they meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Calculate Combined Speed: We need to find the combined speed of the lifeboat and the rescue boat.Speed of lifeboat: kilometers per hourSpeed of rescue boat: kilometers per hourCombined speed Speed of lifeboat Speed of rescue boatCombined speed Combined speed
- Calculate Time to Meet: Next, we calculate the time it will take for the boats to meet using the combined speed and the distance between them.Distance between boats: kilometersCombined speed: kilometers per hourTime Distance SpeedTime Time hours
- Convert Time to Hours and Minutes: Now we need to convert the decimal hours into hours and minutes.The whole number part is the number of hours, and the decimal part multiplied by will give us the minutes.Hours = (since hours has a whole number part of )Minutes = minutes/hourMinutes minutesWe round this to the nearest minute.Minutes minutes
- Final Meeting Time: Therefore, the lifeboat and rescue boat will meet in approximately hour and minutes.
