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A rescue boat just picked up some sailors in a lifeboat. Now the rescue boat is heading north at miles per hour. The lifeboat, which they abandoned, is drifting south at a speed of miles per hour. How long will it be before the rescued sailors are miles from their lifeboat?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. A rescue boat just picked up some sailors in a lifeboat. Now the rescue boat is heading north at miles per hour. The lifeboat, which they abandoned, is drifting south at a speed of miles per hour. How long will it be before the rescued sailors are miles from their lifeboat?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Calculate Combined Speed: Calculate the combined speed of the rescue boat and the lifeboat.The rescue boat is heading north at miles per hour, and the lifeboat is drifting south at miles per hour. Since they are moving in opposite directions, their speeds add up.Combined speed Speed of rescue boat Speed of lifeboatCombined speed Combined speed
- Calculate Time to Reach Miles: Calculate the time it will take for the sailors to be miles from their lifeboat.We need to find the time it takes for the two boats to be miles apart.Time Distance SpeedTime miles mphTime hours
- Convert Time to Hours and Minutes: Convert the time from hours to hours and minutes.Since we have a decimal hour, we need to convert it to minutes. There are minutes in an hour.Minutes Minutes Minutes minutesWe round this to the nearest minute.Minutes minutes
- Final Answer: Combine the whole number of hours with the rounded minutes to get the final answer.The sailors will be miles from their lifeboat in approximately hours and minutes.
