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 = r100(5)
r100 = 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 = r200(T)
Since r100 = r200
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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