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A container has 300 liters of water, and a second container has 700 liters of water. The first

container begins filling up at a rate of 5 liters per minute at the same time the second starts

draining at a rate of 6 liters per minute. Which equation can be used to find the number of

minutes, r, that elapse before the two containers have the same amount of water?

Respuesta :

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To obtain the minute, when both containers will have the same amount of water, we use the equation ;

  • 300 + 5m = 700 - 6m

Let the number of minute = m

Container A :

  • Initial Volume = 300
  • Fill rate = 5 ltr/min

  • Amount of water after m, minutes = 300 + 5m - - (1)

Container B :

  • Initial volume = 700
  • Drain rate = 6 ltr/ min

  • Amount of water after, m , minutes = 700 - 6m - - (2)

Time when both A and B will have the same amount of water :

  • Equation (1) = Equation (2)
  • 300 + 5m = 700 - 6m

Hence, the required equation is : 300 + 5m = 700 - 6m

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