# Practice GMAT Problem Solving Question

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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?

Correct Answer:

**A**- Using the basic distance equation, Distance = Rate(Time), you can write the following equation:

D = RT

100 Meter Run: x = r_{100}(5)

r_{100}= x/5 - Since the question states that Peter will run 200 meters "at the same rate," you can write the following equation:

D = RT

z = r_{200}(T)

Since r_{100}= r_{200}

z = (x/5)(T) - 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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