Solve the following problems. (2 pts each) 1. A man rode a bicycle for 12 mi and then hiked an additional 8 mi. The total time for the trip was 5 hr. If his biking rate was 10 mph faster than his hiking rate, what was each rate? Let r be the man's hiking rate. A. Express the man's biking rate in terms of r. B. Express the man's hiking time in terms of r. C. Express the man's biking time in terms of r. D. Write an equation that expresses the total time in terms of r. E. Solve the equation in part (d). What was each rate? 2. One printer can do a printingjob in 4 hr. Another printer can do the same job in 14 hr. How long does it take the two printers to do the job working together? Let t be the number of hours the two printers do the job together. A. Write the rate for the printer that can do the job in 4 hours. B. Write the rate for the printer that can do the job in 14 hours. C. Write the rate for the printers that can do the job together in terms of t. D. Write an equation that expresses the three rates in terms of t. E. Solve the equation in part (d). How long does it take the two printers to do the job together. 3. A tree casts a shadow 19 m long. At the same time, the shadow cast by a 39-cm tall statue is 89 cm long. Find the height of the tree. Round results to the nearest unit. Let a: be the height of the tree. A. Set up a proportion to nd the height of the tree in terms of 3:. B. Solve the equation in part (A). What is the height of the tree? 4. Find the missing length in the similar triangles. Make sure you set up a proportion to answer the