Two buses depart from the Yardley Bus Terminal. One is moving north at 41 kilometers per hour, while the other is moving south at 27 kilometers per hour. How long will it be before the buses are 65 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Two buses depart from the Yardley Bus Terminal. One is moving north at 41 kilometers per hour, while the other is moving south at 27 kilometers per hour. How long will it be before the buses are 65 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Given Speeds: We have:Speed of Bus 1: 41 kilometers per hourSpeed of Bus 2: 27 kilometers per hourFind the combined speed of the two buses since they are moving in opposite directions.Combined speed = Speed of Bus 1 + Speed of Bus 2Combined speed = 41+27Combined speed = 68 kilometers per hour
Combined Speed Calculation: Now, we need to find the time it takes for the buses to be 65 kilometers apart.Use the formula: Time=SpeedDistanceTime=68 kilometers per hour65 kilometersTime≈0.9559 hours
Time Calculation: To convert hours into minutes, we multiply by 60. Time in minutes = 0.9559 hours ×60 minutes/hour Time in minutes ≈57.354 minutes
Conversion to Minutes: Since we need to round to the nearest minute, we round 57.354 minutes to 57 minutes.
Rounding to Nearest Minute: Therefore, the buses will be 65 kilometers apart in approximately 0 hours and 57 minutes.