(5 marks) 1. The Iditarod Trail Sled Dog Race is an annual race that spans the Iditarod Trail in
Alaska. Teams of sled dogs race a distance of 1049 mi (miles). The race record is a
finishing time of 8 d, 19 h, 46 min, and 39 s.
One particular leg of the race spans 200 km. One team covered this span at a rate of
10 km/h faster on the way there than on the way back. If the total time for the trip was
9 h, what was the team's average speed on the way back?
(3 marks) 1. Simplify the following expression. Express your answers in simplest form and state any
non-permissible values. Work must be shown to receive full marks.
\frac{1}{x^2 + 7x} - \frac{2}{49 - x^2}
(3 marks) 1. Divide the following rational expression. Express the answer in simplified form, and
state any restrictions. Work must be shown to receive marks.
\frac{x}{2x - 5} \div \frac{x - 1}{2x^2 - 2}
