Asked by Shohanur

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.
Answered by Reiny
done, look below to your last post of this
Answered by Jeff
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
Answered by C
Thx that helps me so much
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