document.write( "Question 228207: 5)Janet drove her car due west for 3 hours while April drove her car due east for 2 hours. Janet drove 20km/hr faster than April. Their total distance driven combined is 400 km.\r
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document.write( "a) Complete the following table
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document.write( "------(km/hr)Distance-----Speed---------Time(h)
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document.write( "Janet----------------------j------------------
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document.write( "April----------------------a------------------\r
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document.write( "b) set up a system of linear equations ready to enter into your Ti-83 to represent this situation.\r
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document.write( "c)Find each of their speeds.\r
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document.write( "Please can you do this question and show the work. I tend to understand more when i see the steps that were taken to get the answer. Thank you! : D \n" );
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Algebra.Com's Answer #169455 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Janet drove her car due west for 3 hours while April drove her car due east for 2 hours. Janet drove 20km/hr faster than April. Their total distance driven combined is 400 km. \n" ); document.write( "a) Complete the following table \n" ); document.write( "Janet DATA: \n" ); document.write( "time = 3 hrs ; rate = j km/hr ; distance = 3j km \n" ); document.write( "---------------- \n" ); document.write( "April DATA: \n" ); document.write( "time = 2 hrs ; rate = a km/hr ; distance = 2a km \n" ); document.write( "--------------------------------\r \n" ); document.write( "\n" ); document.write( "b) set up a system of linear equations ready to enter into your Ti-83 to represent this situation. \n" ); document.write( "Rate equation: j-a = 20 \n" ); document.write( "distance eq:::3j+2a= 400 \n" ); document.write( "------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c)Find each of their speeds. \n" ); document.write( "Multiply thru the rate equation by 3: \n" ); document.write( "3j-3a = 60 \n" ); document.write( "Subtract that from the distance equation and solve for \"a\": \n" ); document.write( "5a = 340 \n" ); document.write( "a = 68 km/hr (April's rate) \n" ); document.write( "----------- \n" ); document.write( "Since j-a = 20, j = 88 km/hr (Janet's rate) \n" ); document.write( "------------------------------------------------------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |