# 1956 AHSME Problems/Problem 22

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## Problem 22

Jones covered a distance of $50$ miles on his first trip. On a later trip he traveled $300$ miles while going three times as fast. His new time compared with the old time was:

$\textbf{(A)}\ \text{three times as much} \qquad \textbf{(B)}\ \text{twice as much} \qquad \textbf{(C)}\ \text{the same} \\ \textbf{(D)}\ \text{half as much} \qquad \textbf{(E)}\ \text{a third as much}$

## Solution

WLOG Jones travels at $50$ miles per hour. Then, it took him $1$ hour to travel $50$ miles at $50$ miles per hour.

On his second trip, he travels $300$ miles at $150$ miles per hour, which takes $\boxed{\textbf{(B)}\ \text{twice as much}}$ time as before.

~coolmath34

## See Also

 1956 AHSME (Problems • Answer Key • Resources) Preceded byProblem 21 Followed byProblem 23 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 All AHSME Problems and Solutions

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