Question
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
Answers
GPT 3.5
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.
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.