Algebra Puzzle – Challenge 43
Algebra Puzzle - Challenge 43 is a multiple-choice math challenge from Effortless Math. Read the problem, choose from the answer options below, then open the solution to see the full step-by-step working and check your reasoning against it.
Time to challenge your brain with another great math puzzle! This puzzle needs a deep understanding of Algebra!
Challenge:
David can finish a job in 54 days. Peter is (35%) faster than David. How long does it take Peter to finish the same job?
A- 38
B- 40
C- 44.2
D- 50
E- 52
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The correct answer is B.
Peter is (35%) faster than David. Therefore, when David finishes a job, Peter finishes 1.35 of the same job.
Let’s assume that David prepares 54 units in 54 days. Then, Peter can prepares 54 × 1.35 = 72.9 units in the same time.
Now, how long does it take Peter to prepare 54 units?
(frac{54}{x} = frac{72.9}{54} ⇒ x = 40)
It takes Peter 40 days to finish the same job.The Absolute Best Books to Ace Algebra
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