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in Mathematics by (5.7k points)

If a task is completed in 20 days by 5 workers, how long will it take 10 workers to perform the same task?

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2 Answers

0 votes
by (5.7k points)

Let the number of days for 10 workers to complete the task be x.

\(\frac{5}{10} = \frac{20}{x}\)

Cross-multiply

5x = 10 × 20

Simplify.

x = \(\frac{10 \times 20}{5}\)

x = 40

Therefore, 10 workers will require 40 days to complete the same task.

0 votes
by (15.6k points)

PrashantNayak, hello

Think about your answer, does it make sense?  We have more workers and now it takes longer to get the job done?!

The correct answer is 10 days.

5:10 = X:20

=> 10xX = 5x20

=> x = 5x20/10 = 10 days

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