1956 AHSME Problems/Problem 32

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Problem 32

George and Henry started a race from opposite ends of the pool. After a minute and a half, they passed each other in the center of the pool. If they lost no time in turning and maintained their respective speeds, how many minutes after starting did they pass each other the second time?

$\textbf{(A)}\ 3\qquad \textbf{(B)}\ 4\frac{1}{2}\qquad \textbf{(C)}\ 6\qquad \textbf{(D)}\ 7\frac{1}{2}\qquad \textbf{(E)}\ 9$

Solution

Because it took George and Henry $1 \frac{1}{2}$ minutes to meet each other, it took each of them $1 \frac{1}{2}$ minutes to travel half the length of the pool. In order for them to meet again, each of them needs to travel $1 \frac{1}{2}$ lengths of the pool, which takes $\boxed{\textbf{(B)} \quad 4\frac{1}{2}}$ minutes.

-coolmath34

See Also

1956 AHSC (ProblemsAnswer KeyResources)
Preceded by
Problem 31
Followed by
Problem 33
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