This was reposted because it was originally posted on another student's post.
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
x/4 + 3x/5 + 3600 = x
Now just find x
Total distance = X meters.
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.
To find the total distance of the triathlon route, we can work backwards from the information provided.
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.