During a triathlon, tansneem swims 1 over 4 of the total route and cycles 3 over 5 of the remaining route. She runs the rest of the route. If she runs 3600 m, determine the total distance of the triathlon

Answer 1

Let the total distance of the triathlon be D.

Tansneem swims 1/4D of the total distance, so she swims (1/4)D.

The remaining distance after swimming is D - (1/4)D = (3/4)D.

Tansneem cycles 3/5 of the remaining distance, so she cycles (3/5)(3/4)D = (9/20)D.

The distance that Tansneem has left to run is (3/4)D - (9/20)D = (15/20)D - (9/20)D = (6/20)D = (3/10)D.

Since she runs 3600 m, we can set up the equation (3/10)D = 3600.

Multiplying both sides by 10/3, we get D = 3600 * 10/3.

Dividing 3600 by 3 and multiplying by 10, we get D = 36000/3 = 12000.

Therefore, the total distance of the triathlon is D = 12000 meters.