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Two buses are scheduled to arrive at the Middletown Bus Terminal at the same time. One bus is south of the terminal, driving north at miles per hour. At the same time, another bus is north of the terminal and is driving south at miles per hour. They are currently miles apart. How long will it be before the buses arrive at the terminal?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Two buses are scheduled to arrive at the Middletown Bus Terminal at the same time. One bus is south of the terminal, driving north at miles per hour. At the same time, another bus is north of the terminal and is driving south at miles per hour. They are currently miles apart. How long will it be before the buses arrive at the terminal?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Calculate Combined Speed: We have:Speed of Bus : miles per hour (driving north)Speed of Bus : miles per hour (driving south)Distance apart: milesFind the combined speed of both buses.Speed of Bus + Speed of Bus = Combined speedCombined speed: miles per hour
- Find Time Taken: With the combined speed of miles per hour, identify the time taken by both buses to cover the miles.Time Distance Combined speedTime Time hours
- Convert to Minutes: Convert the time taken from hours to minutes. hours minutes/hour minutesSince we need to round to the nearest minute, we get approximately minutes.
- Identify Hours and Minutes: Identify the number of hours and minutes.In hours, the number of whole hours is .The remaining time is approximately minutes.So, it will be hours and minutes before the buses arrive at the terminal.
