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1990 AJHSME Problems/Problem 23

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Problem

The graph relates the distance traveled [in miles] to the time elapsed [in hours] on a trip taken by an experimental airplane. During which hour was the average speed of this airplane the largest?

unitsize(12);for(int a=1; a<13; ++a) {  draw((2a,-1)--(2a,1));  }draw((-1,4)--(1,4)); draw((-1,8)--(1,8)); draw((-1,12)--(...

\text{(A)}\ \text{first (0-1)} \qquad \text{(B)}\ \text{second (1-2)} \qquad \text{(C)}\ \text{third (2-3)} \qquad \text{(D)}...

Solution

The time when the average speed is greatest is when the slope of the graph is steepest. This is in the second hour \rightarrow \boxed{\text{B}}.

See Also

1990 AJHSME (ProblemsResources)
Preceded by
Problem 22
Followed by
Problem 24
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
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