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Michael drove to a friend’s house at a rate of 45 mph. He came back by the same route, but at a rate of 30 mph. If the round-trip took 5 hours, what is the distance michael traveled to visit his friend?.

Respuesta :

In linear equation, 4050 miles  is the distance michael traveled to visit his friend .    

What are a definition and an example of a linear equation?

  • An equation with only one variable is referred to as a linear equation in one variable.
  • It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.
  • A linear equation in one variable would be 9x + 78 = 18, for instance.

total trip time = 5 hr                      

speed when drove to a friends house = 45 mph

speed when drove back = 30 mph  

   x/45  +  x/30  = 5

  45x + 30x = 5 * 45 * 30

   75x = 6750

    x = 6750/75

    x = 1350      

Total distance travel by michael  is 2 x = 2 ×  1350     = 4050 miles

Learn more about  linear equation

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