452,168 views
17 votes
17 votes
If 12 workers can dig a tunnel in 100 days, how long will it take 20 workers to dig the tunnel

User Rkingon
by
2.5k points

1 Answer

20 votes
20 votes

Answer:

60 days.

Explanation:

This is a proportion question. You compare two ratios. Unfortunately it is an inverse ratio.

12 = k/100 Multiply both sides by 100

1200 = k

20 = k/x Multiply both sides by x

20x = k

20x = 1200 Divide by 20

20x/20 = 1200/20

x = 60 days.

An inverse proportion works by making a constant k. The constant k makes the days shorter when the number of people increases. You should expect that. More people , less time.

User Smokku
by
2.9k points
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