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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.

Sagot :

1/4=5/20
3/5=12/20
3600=3/20
3600/3=1/20
1/20=1200
1200x20=24000
24000m is the total distance

Answer:

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