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During a recent track meet, Peter ran x meters of the 100 meter dash in 5 seconds; running at the same rate, how many seconds will it take Peter to run z meters of the 200 meter dash?
  • a)
    5z/x
  • b)
    5zx
  • c)
    5x/z
  • d)
    5/xz
  • e)
    xz/5
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
During a recent track meet, Peter ran x meters of the 100 meter dash i...
  1. Using the basic distance equation, Distance = Rate(Time), you can write the following equation:
    D = RT
    100 Meter Run: x = r100(5)
    r100 = x/5
  2. Since the question states that Peter will run 200 meters "at the same rate," you can write the following equation:
    D = RT
    z = r200(T)
    Since r100 = r200
    z = (x/5)(T)
  3. Since the question asks for the time, variable T, you need to solve for T:
    z = (x/5)(T)
    T = 5z/x
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Community Answer
During a recent track meet, Peter ran x meters of the 100 meter dash i...
Calculation:
Given that Peter ran x meters of the 100 meter dash in 5 seconds. To find out how many seconds it will take Peter to run z meters of the 200 meter dash, we can set up a proportion.

Proportion:
The ratio of distance to time is constant when the rate of running is the same. Therefore, the proportion can be set up as follows:
x/5 = z/y

Solving for y:
To find y, we can cross multiply and solve for y:
x * y = 5z
y = 5z/x
Therefore, to run z meters of the 200 meter dash, it will take Peter 5z/x seconds.
Therefore, the correct answer is option A) 5z/x.
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