Jamie spent 30 hours driving to and from her parents house.
Total distance of one trip= 720 miles.
Let x be her speed when she was travelling back home. So her speed on her way to her parents home will be x + 14
Distance = Speed x TimeSo,
Time = Distance/SpeedWhile travelling towards her parents house, the equation for time will be:
Time =
While travelling back to her house, the equation for time will be:
Time =
It took her a total of 30 hours, so we can write:
Since x represents the speed and it cannot have a negative value we ignore x= - 8.
So, Jamie's speed on her way back home was
42 miles per hour. And her speed on her way to her parents home was 42+14 =
56 miles per hourThe time she spent driving towards her parent home = 720/56 = 1
2 hours and 51 minutesThe time she spent driving towards her home = 720/42 =
17 hours and 9 minutes