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Zane and Camilla are coworkers who live in different cities. They both left the office at the same time today. Camilla drove directly east toward Oxford at a speed of miles per hour. Zane took the bus directly west toward Westminster, traveling miles per hour. In how long were the two of them miles apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Zane and Camilla are coworkers who live in different cities. They both left the office at the same time today. Camilla drove directly east toward Oxford at a speed of miles per hour. Zane took the bus directly west toward Westminster, traveling miles per hour. In how long were the two of them miles apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Calculate Combined Speed: We have:Speed of Camilla: miles per hour (eastward)Speed of Zane: miles per hour (westward)Since they are traveling in opposite directions, we need to find their combined speed.Combined speed = Speed of Camilla + Speed of ZaneCombined speed = mph + mphCombined speed = mph
- Find Time: Now, we need to calculate the time it takes for them to be miles apart.Time We will use the combined speed and the distance they need to be apart.Time
- Perform Division: Perform the division to find the time in hours.Time Time hours
- Convert to Minutes: To convert the time from hours to minutes, we multiply by (since there are minutes in an hour).Minutes = hours minutes/hourMinutes minutes
- Round to Nearest: We round the minutes to the nearest whole number.Minutes minutesSince the time in hours was less than one, we have hours and minutes.
