text: # Can someone work out these mixtures and weighted averages problems?
  
  • Oct 16th 2011, 06:41 PM
  Chuatola
  Can someone work out these mixtures and weighted averages problems?
  Studying for a test and I would like to see these problems set up as an equation and then worked out please. Thanks!
  
  1.How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?
  
  2.Two airplanes leave the Atlanta airport at the same time, traveling in opposite directions. One plane travels 30 miles per hour faster than the other. After 3 hours, the planes are 3150 miles apart. What is the rate of each plane?
  Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
  
  3.Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
  • Oct 16th 2011, 06:47 PM
  TKHunny
  Re: Can someone work out these mixtures and weighted averages problems?
  Solution - ALWAYS find one substance and build an equation.
  
  Add how much acid
  End up with how much acid
  
  OR
explanation: The document is a forum post where the user "Chuatola" is seeking help with math problems related to mixtures and weighted averages. The post contains three distinct math problems, and the user is asking for the problems to be set up as equations and then solved. There is no provided answer to these questions.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
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distilabel_metadata.role: system
distilabel_metadata.content: # Can someone work out these mixtures and weighted averages problems?
  
  • Oct 16th 2011, 06:41 PM
  Chuatola
  Can someone work out these mixtures and weighted averages problems?
  Studying for a test and I would like to see these problems set up as an equation and then worked out please. Thanks!
  
  1.How many liters of a 90% acid solution must be added to 6 liters of a 15% acid solution to obtain a 40% acid solution?
  
  2.Two airplanes leave the Atlanta airport at the same time, traveling in opposite directions. One plane travels 30 miles per hour faster than the other. After 3 hours, the planes are 3150 miles apart. What is the rate of each plane?
  Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
  
  3.Paula leaves home driving 40 miles per hour. One hour later, her brother Dan leaves home, driving in the same direction at a speed of 50 miles per hour. How long will it take Dan to catch up to Paula? Let Dan's time = t. Round to the nearest whole hour.
  • Oct 16th 2011, 06:47 PM
  TKHunny
  Re: Can someone work out these mixtures and weighted averages problems?
  Solution - ALWAYS find one substance and build an equation.
  
  Add how much acid
  End up with how much acid
  
  OR
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum post where the user "Chuatola" is seeking help with math problems related to mixtures and weighted averages. The post contains three distinct math problems, and the user is asking for the problems to be set up as equations and then solved. There is no provided answer to these questions.
  
  Label: multiple-question