Problema Solution
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 it takes for worker A and worker B to assemble a shelving unit together?
Answer provided by our tutors
Worker A can assemble a shelving unit in 5 hours thus his rate is: 1/5 unit per hour
Worker B can assemble the same shelving unit in 3 hours thus his rate is: 1/3 unit per hour
Worker A and worker B can assemble a shelving unit together in t hours thus their together rate is: 1/t unit per hour
The equation used to find t is:
1/5 + 1/3 = 1/t
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t = 15/8 hr
t = 1 hr 7*60/8 min
t = 1 hr 52.5 min
Worker A and worker B can assemble a shelving unit together in 1 hr 52.5 min.