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Rosa's and Kiara's houses are separated by a stretch of road that is miles long. One day, they decide to meet up somewhere in the middle and spend the afternoon together. Rosa leaves her house and travels at miles per hour at the same time that Kiara leaves her house and drives miles per hour. How long will it be until they meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Full solution
Q. Rosa's and Kiara's houses are separated by a stretch of road that is miles long. One day, they decide to meet up somewhere in the middle and spend the afternoon together. Rosa leaves her house and travels at miles per hour at the same time that Kiara leaves her house and drives miles per hour. How long will it be until they meet?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
- Rephrase the Question: First, let's rephrase the ＂How long will it take for Rosa and Kiara to meet if they start traveling towards each other from houses that are miles apart, with Rosa traveling at miles per hour and Kiara at miles per hour?＂
- Calculate Combined Speed: We need to find the combined speed of Rosa and Kiara as they are traveling towards each other. To do this, we add their speeds together.Combined speed = Rosa's speed + Kiara's speedCombined speed = Combined speed =
- Calculate Time to Meet: Now, we need to calculate the time it will take for them to meet. Since they are starting miles apart and moving towards each other at a combined speed of miles per hour, we can use the formula:Time Distance SpeedTime miles miles per hour
- Calculate Time in Hours: Performing the calculation gives us the time in hours:Time Time hours
- Convert Time to Minutes: To convert the time from hours to minutes, we multiply by (since there are minutes in an hour):Time in minutes hours minutes/hourTime in minutes minutes
- Round Time to Nearest Minute: We need to round the time to the nearest minute. Since the decimal part is greater than , we round up to the nearest whole number:Time in minutes minutes
