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
\n" ); document.write( "\n" ); document.write( "a) Complete the following table
\n" ); document.write( "------(km/hr)Distance-----Speed---------Time(h)
\n" ); document.write( "Janet----------------------j------------------
\n" ); document.write( "April----------------------a------------------\r
\n" ); document.write( "
\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.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "c)Find each of their speeds.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); 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" ); document.write( "

Algebra.Com's Answer #169455 by stanbon(75887)\"\" \"About 
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( "
\n" );