Respuesta :

mhanifa

Answer:

  • It takes 13 hours and 15 minutes to paint longer walls of the house

Step-by-step explanation:

Given:

  • Rectangular house.
  • Painting of the longer walls takes 8 hours longer than painting shorter walls.
  • Total time to paint is 18.5 hours.

Let the length of shorter sides be x and longer sides be y.

Then we have the system:

  • y = x + 8
  • x + y = 18.5

Solve it by substitution:

  • x + x + 8 = 18.5
  • 2x + 8 = 18.5
  • 2x = 10.5
  • x = 10.5/2
  • x = 5.25

Find the value of y:

  • y = 5.25 + 8 = 13.25 hours or 13 hours and 15 minutes

Shorter one be x

longer one=x+8

  • Total time=18.5h

So

  • x+x+8=18.5
  • 2x+8=18.5
  • 2x=18.5-8
  • 2x=10.5
  • x=10.5/2
  • x=5.25hours

Time required for longer side

  • 5.25+8
  • 13.25hours

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