document.write( "Question 1177891: Amber has entered a cross-country running series. Each race in the series has a time limit by which runners must complete the course in order to qualify for the next race.
\n" ); document.write( "
\n" ); document.write( "The first race is 9 km long and must be completed in 50 minutes.
\n" ); document.write( "After Amber runs the first 5 km, her coach informs her she must increase her speed by 2 km/h for the last 4 km in order to finish the race in 50 minutes.\r
\n" ); document.write( "\n" ); document.write( "a.Complete the following chart. (3 marks)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First 5 km Section
\n" ); document.write( "Distance (km)
\n" ); document.write( "Speed (km/h)
\n" ); document.write( "Time (h)
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Last 4 km Section
\n" ); document.write( "Distance (km)
\n" ); document.write( "Speed (km/h)
\n" ); document.write( "Time (h)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b.Write and solve a rational equation to determine the speed at which Amber needs to run the last 4 km of the race. Convert time in minutes to time in hours. (2 marks)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #807055 by MathTherapy(10551)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Amber has entered a cross-country running series. Each race in the series has a time limit by which runners must complete the course in order to qualify for the next race.
\n" ); document.write( "
\n" ); document.write( "The first race is 9 km long and must be completed in 50 minutes.
\n" ); document.write( "After Amber runs the first 5 km, her coach informs her she must increase her speed by 2 km/h for the last 4 km in order to finish the race in 50 minutes.\r
\n" ); document.write( "\n" ); document.write( "a.Complete the following chart. (3 marks)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "First 5 km Section
\n" ); document.write( "Distance (km)
\n" ); document.write( "Speed (km/h)
\n" ); document.write( "Time (h)
\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Last 4 km Section
\n" ); document.write( "Distance (km)
\n" ); document.write( "Speed (km/h)
\n" ); document.write( "Time (h)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "b.Write and solve a rational equation to determine the speed at which Amber needs to run the last 4 km of the race. Convert time in minutes to time in hours. (2 marks)
\n" ); document.write( "
Let speed needed to run last 4 km, be S
\n" ); document.write( "Then speed needed to run the first 5 km = S - 2
\n" ); document.write( "With 50 mins being \"matrix%281%2C4%2C+50%2F60%2C+or%2C+5%2F6%2C+hr%29\", we then get the following TIME equation: \"matrix%281%2C3%2C+5%2F%28S+-+2%29+%2B+4%2FS%2C+%22=%22%2C+5%2F6%29\"
\n" ); document.write( "With this info., you should now be able to answer the questions posed! \n" ); document.write( "
\n" );