Answer : Fraction of remaining trip = [tex]\frac{6}{17}[/tex]
Remaining distance = 240 miles
Total distance he plans to drive = 680 miles
Distance he drive before he stopped for gas[tex]=\frac{9}{34}[/tex]
Distance he drive and stopped for lunch [tex]=\frac{13}{34}[/tex]
Fraction of trip remains
[tex]=1-\frac{9}{34}-\frac{13}{34}\\=1-\frac{22}{34}\\=\frac{34-22}{34}\\=\frac{12}{34}\\=\frac{6}{17}[/tex]
Remaining distance of trip is given by
[tex]\frac{6}{17}\times 680\\=6\times 40\\=240 miles[/tex]
Hence, remaining distance for the trip = 240 miles
