x/4 + 3x/5 + 3600 = x
Now just find x
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
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posted by will
today at 7:21pm
Now just find x
swims x/4 meters.
cycles 3/5*3x/4 meters = 9x/20 meters.
runs 2/5*3x/4 = 6x/20 = 3600 meters.
6x/20 = 3600.
X = 12,000 meters.
First, let's determine the distance Sharon runs. We are given that she runs 3,600 meters.
Next, let's find the distance she cycles. It is mentioned that she swims 1/4 of the total route and cycles 3/5 of the remaining route. This means the distance she cycles is 3/5 of the remaining 3/4 of the route (since she already swam 1/4).
To calculate the distance she cycles, we can multiply 3/5 by 3/4 and then subtract this from the total distance she ran:
Distance cycled = (3/5) * (3/4) * Total distance she ran
Distance cycled = 9/20 * Total distance she ran
Finally, since Sharon swims 1/4 of the total route, we can find the distance she swims by subtracting the distance she ran and cycled from the total triathlon route distance:
Distance swam = Total triathlon route distance - Distance she ran - Distance she cycled
Now, we can combine the information we have and set up an equation to solve for the total triathlon route distance:
Total triathlon route distance = Distance she ran + Distance she cycled + Distance she swam
Plugging in the values we know:
Total triathlon route distance = 3,600 + 9/20 * Total distance she ran + Distance she swam
Keep in mind that we still need to calculate Distance she swam.
To find the distance Sharon swam, we can use the fact that she swims 1/4 of the total route:
Distance she swam = (1/4) * Total triathlon route distance
Now, we can substitute this value back into our previous equation:
Total triathlon route distance = 3,600 + 9/20 * Total distance she ran + (1/4) * Total triathlon route distance
Rearranging the equation to solve for Total triathlon route distance:
Total triathlon route distance - (1/4) * Total triathlon route distance = 3,600 + 9/20 * Total distance she ran
Combining like terms and simplifying:
(3/4) * Total triathlon route distance = 3,600 + 9/20 * Total distance she ran
Now, we can solve for the total triathlon route distance.