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 1 fifth t Worker B 1 third t
Answer
A
5 t minus 3 t is equal to 1
B
5 t plus 3 t is equal to 1
C
1 fifth t plus 1 third t is equal to 1
D
1 fifth t minus 1 third t is equal to 1
Explanation
Worker A assembles 1/5 of a shelving unit per hour, and worker B assembles 1/3 per hour. In t hours, they complete t/5 and t/3 units, respectively. Working together, their completed portions add to one whole unit, so t/5 + t/3 = 1. This is choice C.
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