2014 AMC 10B Problems/Problem 3
Contents
[hide]Problem
Randy drove the first third of his trip on a gravel road, the next miles on pavement, and the remaining one-fifth on a dirt road. In miles, how long was Randy's trip?
Solution 1
Let the total distance be . We have , or . Subtracting from both sides gives us . Multiplying by gives us
Solution 2
The first third of his distance added to the last one-fifth of his distance equals . Therefore, of his distance is . Let be his total distance, and solve for . Therefore, is equal to , or .
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See Also
2014 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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All AMC 10 Problems and Solutions |
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