# 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?

$\frac{V U \left(M + N\right)}{M U + V N}$
"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)