Algebra Word problem :( 10 Points?

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 200 workers 3weeks to build 2 miles of highway. How many miles of highway could 250 workers build in 6 weeks?

Comments

  • 200*x=2 miles divide each side by 2

    100*x=1 divide each by 100

    x = .01

    so we add 50 people then:

    250 * x = ?

    250 * .01 = 2.5 miles

    now we have 6 weeks which is twice as much....

    2.5 * 2 = 5 miles

    the anzwer is 5

  • 600=2 miles

    1500=x miles

    600x=3000

    x =5

    answer is 5 miles.

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