A triathlon consists of three legs: a swim, a bike ride, and a run. A race organizer analyzes the results of a certain

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A triathlon consists of three legs: a swim, a bike ride, and a run. A race organizer analyzes the results of a certain triathlon and observes that the ratio of swim distance to bike distance to run distance was 1 to 50 to 12 and that the ratio of average swim time to average bike time to average run time for all participants was 3 to 10 to 6. If the average speed of racers in each leg of the race does not change, but the race organizer changes the distance of each leg of the race so that the average swim time, average bike time, and average run time are now equal to each other, what fraction of the total distance of the race will be represented by the swim leg of the triathlon?

(A) \(\dfrac2{11}\)

(B) \(\dfrac1{22}\)

(C) \(\dfrac3{13}\)

(D) \(\dfrac2{13}\)

(E) \(\dfrac3{22}\)

Answer: B

Source: Manhattan GMAT