A cyclist travels M km at V km/h and N km at U km/h. How do you the average speed of the cyclist? Algebra Expressions, Equations, and Functions Problem-Solving Models 1 Answer IDKwhatName Jul 23, 2017 #(VU(M+N))/(MU+VN)# Explanation: #"Time"=("Distance")/("Velocity")# #"Average speed" = ("Total distance travelled")/("Total time taken")=(M+N)/(M/V+N/U)=(M+N)/(((MU+VN)/(VU)))=(VU(M+N))/(MU+VN)# Answer link Related questions What are the steps to solving a word problem? Where do I start when I'm trying to solve a word problem? How do you check a solution to a problem? What are the different strategies used to solve a word problem? What is the best method of determining the cost of downloading 26 movies, if it cost $2.25 to... How do you solve word problems involving percents? What are commonly used math terms that translates to addition, subtraction, multiplication, and division? How much pure antifreeze should be added to 3 gallons of a 30 percent antifreeze solution to get... How would you use equations to calculate the age of Al given that Al's father is 45 and he is 15... How do you solve #x=(y-1)/(y+1)# for y? See all questions in Problem-Solving Models Impact of this question 3353 views around the world You can reuse this answer Creative Commons License