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during a triathlon, Sharon swims 1/4 of the total route and cycles 3/5 of the remaining route. she runs the rest of the route. if she runs 3,600 meters, find the total distance of the triathlon route. show your work.

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  1. done, look below to your last post of this

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    posted by Reiny
  2. Sharon swims 1/4 of the total route
    Swim = (1/4)*TotRoute
    Sharon cycles 3/5 of the remaining route
    Cycles = (3/5)*(3/4)*TotRoute
    Notice the 3/4. If she swam 1/4 of the total route, 3/4 of the route remains for cycling and running.
    Sharon runs rest of the route
    Runs = (2/5)*(3/4)*TotRoute = 3,600 meters
    2/5 of the remaining route is what is left after the 3/5 of the remaining route of cycling

    Solve the Runs equation first
    3,600 meters = (6/20)*TotRoute
    Solve for TotRoute
    The answer is TotRoute = 12,000 meters

    You can also solve for swim and cycle if you wish. Plug back into the other equations

    Swim = (1/4)*TotRoute = (1/4)*12,000 meters = 3,000 meters

    Cycles = (3/5)*(3/4)*TotRoute = (3/5)*(3/4)*12,000 meters = 5,400 meters

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    posted by Jeff

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