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Source: Manhattan Prep
Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?
A. \(4\pi-1.6\)
B. \(4\pi+8.4\)
C. \(4\pi+10.4\)
D. \(2\pi-1.6\)
E. \(2\pi-0.8\)
The OA is B
Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?
A. \(4\pi-1.6\)
B. \(4\pi+8.4\)
C. \(4\pi+10.4\)
D. \(2\pi-1.6\)
E. \(2\pi-0.8\)
The OA is B
