A_________B______________C
(1) Travelling from C to A at an average rate of 45 m.p.h. takes 25 minutes longer than at an average rate of 50 m.p.h.
Let the distance between A and C = D
And time taken at the speed of 50 m.p.h = T hour/s
Time taken
D = 50*(T)
D = 45*(T+25/60)
50T = 45(12T+5)/12
600T = 540T+225
60T = 225
T = 225/60 => 3 hours and 45 minutes.
Hence, Distance => 50*225/60 => 187.5 miles (but we don't know the distance between A and B or B and C) (Not sufficient)
(2) Traveling along the route at a constant 25 miles per gallon of gas, a car will use twice as much gas between A and B as it will use between B and C
Hence, the distance between A and B is twice the distance between B and C. But no specific distance is mentioned. (not sufficient)
Combining both,
The distance between A to B is 2/3 of total distance.
2/3 of 187.5 = 125 miles. (Sufficient)
Answer is C
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