Jessica and Myra just met up in Cedarburg for the afternoon, and now it is time for them to get in their cars and head home. Jessica heads due east at 76 kilometers per hour, and Myra heads due west at 87 kilometers per hour. How long will it be until they are 63 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. Jessica and Myra just met up in Cedarburg for the afternoon, and now it is time for them to get in their cars and head home. Jessica heads due east at 76 kilometers per hour, and Myra heads due west at 87 kilometers per hour. How long will it be until they are 63 kilometers apart?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Combined Speed: Determine the combined speed of Jessica and Myra as they are moving in opposite directions.Combined speed =Speed of Jessica+Speed of MyraCombined speed =76km/h+87km/hCombined speed =163km/h
Calculate Time: Calculate the time it takes for them to be 63 kilometers apart using the combined speed.Time = Distance / SpeedTime =63km/163km/hTime ≈0.3865 hours
Convert to Minutes: Convert the time from hours to minutes to get the answer in hours and minutes.Minutes =0.3865 hours×60 minutes/hourMinutes ≈23.19 minutes
Round to Nearest Minute: Since we need to round to the nearest minute, we round 23.19 minutes to 23 minutes.Therefore, it will be approximately 0 hours and 23 minutes until they are 63 kilometers apart.