Difference between revisions of "1992 AJHSME Problems/Problem 19"
Mrdavid445 (talk | contribs) (Created page with "==Problem== The distance between the <math>5^\text{th}</math> and <math>26^\text{th}</math> exits on an interstate highway is <math>118</math> miles. If any two exits are at le...") |
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<math>\text{(A)}\ 8 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 47 \qquad \text{(E)}\ 98</math> | <math>\text{(A)}\ 8 \qquad \text{(B)}\ 13 \qquad \text{(C)}\ 18 \qquad \text{(D)}\ 47 \qquad \text{(E)}\ 98</math> | ||
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| + | ==Solution== | ||
| + | There are <math>21</math> pairs of consecutive exits. To find the maximum number of miles of one of these, the other <math>20</math> must be equal to the minimum number yielding a total of <math>(5)(20)=100</math> miles. The longest distance must be <math>118-100=\boxed{\text{(C)}\ 18}</math>. | ||
| + | |||
| + | ==See Also== | ||
| + | {{AJHSME box|year=1992|num-b=18|num-a=20}} | ||
Revision as of 20:53, 22 December 2012
Problem
The distance between the 
and 
exits on an interstate highway is 
miles. If any two exits are at least 
miles apart, then what is the largest number of miles there can be between two consecutive exits that are between the and exits?
Solution
There are 
pairs of consecutive exits. To find the maximum number of miles of one of these, the other 
must be equal to the minimum number yielding a total of 
miles. The longest distance must be 
.
See Also
| 1992 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 18 |
Followed by Problem 20 | |
| 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 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
