Question

Solve for x
(x/r)+(x/w)+(x/t)= 1

Answer 1

x/r + x/w + x/t = 1

x (1/r + 1/w + 1/t) = 1

x = 1 / (1/r + 1/w + 1/t)

To make the solution a bit cleaner, multiply through the numerator and denominator by the LCM of each fraction's denominator, rwt :

x = 1 / (1/r + 1/w + 1/t) • rwt / rwt

x = rwt / (rwt/r + rwt/w + rwt/t)

x = rwt / (wt + rt + rw)