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\(P, Q\) and \(R\) are located in a flat region of a certain state. \(Q\) is \(x\) miles due east of \(P\) and \(y\) miles due north of \(R.\) Each pair of points is connected by a straight road. What is the number of hours needed to drive from \(Q\) to \(R\) and then from \(R\) to \(P\) at a constant rate of \(z\) miles per hour, in terms of \(x, y\) and \(z?\) (Assume \(x, y,\) and \(z\) are positive)
A. \(\dfrac{\sqrt{x^2+y^2}}{z}\)
B. \(\dfrac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\dfrac{y+\sqrt{x^2+y^2}}{z}\)
D. \(\dfrac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\dfrac{z}{y+\sqrt{x^2+y^2}}\)
[spoiler]OA=C[/spoiler]
Source: GMAT Prep
A. \(\dfrac{\sqrt{x^2+y^2}}{z}\)
B. \(\dfrac{x+\sqrt{x^2+y^2}}{z}\)
C. \(\dfrac{y+\sqrt{x^2+y^2}}{z}\)
D. \(\dfrac{z}{x+\sqrt{x^2+y^2}}\)
E. \(\dfrac{z}{y+\sqrt{x^2+y^2}}\)
[spoiler]OA=C[/spoiler]
Source: GMAT Prep
