Algebra Puzzle – Challenge 32

Algebra Puzzle - Challenge 32 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.

This is a great mathematics challenge for those who love critical thinking problems. Let’s challenge your brain!

Algebra Puzzle – Challenge 32

Challenge:

If 8 workers can build a house in 20 days, how many workers are needed to build the house in 4 days?

A- 12

B- 26

C- 32

D- 40

E- 44

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The correct answer is D.

Keep in mind that the number of workers and the number of days are inversely proportional. It means that with more workers, it takes less time to build a house.
First, find the constant. W (number of workers) × D (days) = 8 × 20 = 160
Then, W × 4 (days) = 160 → W = 40
40 workers are needed to build the house in 4 days!

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