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Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, the situation can be
modeled by the following equation where tis the number of minutes it would take to mow the lawn together
45+ go - 7
How long will it take Maxine and Jan to mow the lawn together?
30.0 minutes
450 minutes
67.5 minutes
135.0 minutes

Respuesta :

Answer:

A: 30

Step-by-step explanation:

abidemiokin

The time it takes Maxine and Jan to mow the lawn together is 30 minutes

Given the following parameters:

  • The time it takes max to mow a lawn is 45 minutes
  • If Jan takes twice as long to mow the same lawn, the time taken by Jan is 2(45) = 90 minutes

Let x be the time it would take to mow the lawn together;

[tex]\frac{1}{x} =\frac{1}{45} +\frac{1}{90}[/tex]

Find the least common denominator:

[tex]\frac{1}{x}=\frac{2+1}{90}\\ \frac{1}{x}=\frac{3}{90}[/tex]

Reciprocate both sides:

[tex]x=\frac{90}{3} \\x=30mins[/tex]

Hence the time it takes Maxine and Jan to mow the lawn together is 30 minutes

Learn more on equations here: https://brainly.com/question/11408596

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