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20 men can complete a piece of work in 24 days how many men should be subtracted to finish the work in 32 days?



20 men can complete a piece of work in 24 days how many men should be subtracted to-example-1
asked
User Duckman
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8.2k points

1 Answer

3 votes

Answer:

5 men should be subtracted.

Explanation:

This question is solved by proportions, using a rule of three.

As these measures(number of men needed and time) are inversely proportional, we multiply the lines instead of cross multiplication.

How many men should be working to complete the work in 32 days?

20 men - 24 days

x men - 32 days

Then


32x = 20*24


x = (20*24)/(32)


x = 15

How many men should be subtracted?

There are 20 to complete in 24 days.

15 are needed to complete in 32 days.

20 - 15 = 5

5 men should be subtracted.

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