3 pipes take 60 minutes to water the field. How much time will it take to water the field with 6 pipes? Is this direct proportion or inverse proportion and why? Full working out and equation please.​

Respuesta :

Answer:

30 minutes.

Step-by-step explanation:

The more pipes you have the less time it takes to water the field.

This is inverse proportion.

t  varies as 1 / p

t = k/p

Inserting the given values:

60 = k/3

so k = 180.

and the equation of variation is

t = 180 / p.

When the number of pipes = 6 the time

= t = 180 /6

= 30 minutes.

The time that should be needed is 30 minutes.

Given that,

  • 3 pipes take 60 minutes to water the field.

Based on the above information, the calculation is as follows:

[tex]t = k\div p\\\\60 = k\div 3[/tex]

k = 180

Now  

[tex]t = 180 \div p\\\\t = 180 \div 6[/tex]

= 30 minutes.

Therefore we can conclude that The time that should be needed is 30 minutes.

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