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

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04-08-2022
Mathematics

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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

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tutorconsortium201 tutorconsortium201 · Answer 1 · 2022-08-10T07:07:02-04:00

If they work together, they need 15/8 hours to assemble one shelving unit.

What does work mean in math?

In summary, work is done when a force acts upon an object to cause a displacement.
Three quantities must be known in order to calculate the amount of work.
Those three quantities are force, displacement and the angle between the force and the displacement.

According to tittle, we know worker A can assemble a shelving unit in 5 hours , which means worker A can finish 1/5 of work in 1 hour . And worker B can finish 1/3 of work in 1 hour.

If A & B work together , they will spend the same time t to assemble only one shelving .

That means, 1/5t + 1/3 t = 1 (equation)

1/5 t is worker A's workload during time t , 1/3 t is worker B workload.

So, 1/5 t + 1/3t = 1 is the answer

⇒ 5t + 3t = 15

⇒ t = 15/8 hours

If they work together, they need 15/8 hours to assemble one shelving unit.

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