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

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

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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)

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