Darnell and Roxanne just finished a picnic at the park and are about to ride their bikes home. Darnell goes 6 miles per hour, and Roxanne goes 7 miles per hour in precisely the opposite direction. In how long will they be 10 miles apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Darnell and Roxanne just finished a picnic at the park and are about to ride their bikes home. Darnell goes 6 miles per hour, and Roxanne goes 7 miles per hour in precisely the opposite direction. In how long will they be 10 miles apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: We have:Speed of Darnell: 6 miles per hourSpeed of Roxanne: 7 miles per hourSince they are traveling in opposite directions, we need to find their combined speed.Combined speed = Speed of Darnell + Speed of RoxanneCombined speed = 6+7=13 miles per hour
Find Time Taken: Now, we need to calculate the time it takes for them to be 10 miles apart using their combined speed.Time = Distance / SpeedTime =10 miles /13 miles per hourTime hickapprox0.769 hours
Convert to Minutes: To convert hours into minutes, we multiply by 60. Time in minutes = 0.769 hours ×60 minutes/hour Time in minutes ≈46.15 minutes Since we need to round to the nearest minute, we round 46.15 to 46 minutes.
Final Result: Therefore, Darnell and Roxanne will be 10 miles apart in approximately 0 hours and 46 minutes.