Unit 4: Rational Expressions and Equations Assignment Booklet 4 13. 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. The first race is 9 km long and must be completed in 50 minutes. 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. a. Complete the following chart. (3 marks) Distance (km) Speed (km/h) Time (h) First 5 km Section 5hm LX 5x Last 4 km Section uhm / * tz 4( * + 2 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) ADLC Mathematics 30-2Assignment Booklet 4 Unit 4: Rational Expressions and Equations 1 1. Alex and Jamie work for a landscape company during the spring and summer. When Alex works alone, it takes him 5 hours to complete a spring clean-up in a yard. When Alex and Jamie work together, it takes them 3 hours to complete a yard. a. Define a variable to represent the time it takes Jamie to complete a yard alone. (1 mark) J = The time it takes Jamie to complete the yard alone b . Write an equation to represent the time it takes Alex and Jamie to complete a yard together. (1 mark) t = time It takes Alex + Jamic to complete a yard together 6 + J E : 3 C . Solve the equation to determine the time it takes Jamie to complete a yard alone. (2 marks) 5 + J ' B 0. 2+1 = 0.833 12. At the end of Art class, the students must clean up their work stations. When working together, Nicki and James can clean their work station in 12 minutes. When they clean the work station independently, it takes James 10 minutes longer than Nicki. Write and solve an equation to determine the length of time that it takes each of them to the work station on their own. (4 marks) Nts = 12 J = 10 +N ADLC Mathematics 30-2