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.

The total distance of the triathlon route is 12,000 meters

Step-by-step explanation:

If Sharon swims and circle and runs, then the addition of the distances covered swimming, circling and running makes the total distance covered.

Given that she 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

Let the total distance be x

she swims 1/4 of x, remaining distance will be 3x/4.

If she circles 3/5 of the remaining route, the remaining distance after cycling will

=3x/4 - (3/5 ×3x/4)

=3x/4  - 9x/20

=6x/20

if she runs the remaining distance = 3,600 meters

Then 6x/20 = 3600

6x = 20 × 3600

x = 12,000 meters

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