At a furniture manufacturer, worker A can assemble a shelving unit in 5 hours. Worker B can assemble the same shelving unit in 3 hours. Which equation can be used to find t, the time in hours it takes for worker A and worker B to assemble a shelving unit together?





Rate

(Shelving Units per Hour)

Time

(Hours)

Fraction Completed

Worker A

One-fifth

t



Worker B

One-third

t





5 t + 3 t = 1

One-fifth t minus one-third t = 1

One-fifth t + one-third t = 1

5 t minus 3 5 = 1