Algebra Puzzle – Challenge 50
This is another math puzzle and brain teaser that is interactive, challenging, and entertaining for those who love Math challenges!
Challenge:
If 11 workers can build 11 cars in 11 days, then how many days would it take 7 workers to build 7 cars?
A- 7
B- 9
C- 11
D- 14
E- 18
The Absolute Best Book to challenge your Smart Student!
The correct answer is A.
If 11 workers can build 11 cars in 11 days, then 11 workers can build one car per day. (Find the rate of cars per day)
If, 11 workers can build one car per day, then, one worker can make a car in 11 days. (Each worker can build \(\frac{1}{11}\) of a car per day. So, it takes 11 days for a worker to make a car)
If one worker can make a car in 11 days, then it takes 77 days for a worker to make 7 cars. With this rate, 7 workers can make 7 cars in 11 days. Why?
Reza is an experienced Math instructor and a test-prep expert who has been tutoring students since 2008. He has helped many students raise their standardized test scores--and attend the colleges of their dreams. He works with students individually and in group settings, he tutors both live and online Math courses and the Math portion of standardized tests. He provides an individualized custom learning plan and the personalized attention that makes a difference in how students view math.
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