It would take 15men 8days to dig a trench of 240metres long.How many days would it take 18men to dig a trench of 360meters long working at the same Rate.

Respuesta :

Using proportions, it is found that it would take 6.4 days for 8 men to dig a trench of 360 meters long working at the same rate.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the rule of three is given as follows:

8 days - 15 men - 240 meters

x days - 18 men - 360 meters

The number of men is inverse proportional to the number of days, hence we divide 18 by 15 instead of 15 by 18, then:

[tex]\frac{8}{x} = \frac{18}{15} \times \frac{24}{36}[/tex]

[tex]\frac{8}{x} = \frac{6}{5} \times \frac{4}{6}[/tex]

[tex]\frac{8}{x} = \frac{5}{4}[/tex]

Applying cross multiplication:

5x = 32.

x = 32/5

x = 6.4 days.

More can be learned about proportions at https://brainly.com/question/24372153

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