1995 AHSME Problems/Problem 7

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Problem

The radius of Earth at the equator is approximately 4000 miles. Suppose a jet flies once around Earth at a speed of 500 miles per hour relative to Earth. If the flight path is a neglibile height above the equator, then, among the following choices, the best estimate of the number of hours of flight is:


$\mathrm{(A) \ 8 } \qquad \mathrm{(B) \ 25 } \qquad \mathrm{(C) \ 50 } \qquad \mathrm{(D) \ 75 } \qquad \mathrm{(E) \ 100 }$

Solution

We want the number of hours that it takes the jet to fly the length of the circumference. $\frac{8000\pi}{500}=16\pi$. The best estimate of that is $50\Rightarrow \mathrm{(C)}$

See also

1995 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 6
Followed by
Problem 8
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