1950 AMC 12 Problem 29
Attempt Problem 29 of the 1950 AMC 12 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1950 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
A manufacturer built a machine which will address envelopes in minutes. He wishes to build another machine so that when both are operating together they will address envelopes in minutes. The equation used to find how many minutes it would require the second machine to address envelopes alone is:
None of these answers
Answer: B
Small hint:
Measure each machine’s rate in batches of envelopes per minute
Big hint:
The two individual rates must add to the combined rate
Solution:
The first machine completes of a -envelope batch per minute, and the second completes of a batch per minute. Together they must complete of a batch per minute. Therefore the required equation is
Thus, the correct answer is B.
Problem 29 in other years
- 1951 AMC 12
- 1952 AMC 12
- 1953 AMC 12
- 1954 AMC 12
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