If Machine A and Machine B collaborate, they can manufacture 1,500 units in 10 hours. If Machine B were to operate independently, it would take 50% longer to achieve the same output. How much of the total 1,500 units would Machine A produce if it worked alone for a full 10-hour shift?

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600

350

500

Correct

550

400

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Official Explanation

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Machine A and Machine B can produce 1,500 units in 10 hours. If Machine B were to work alone, it would take 50% longer to produce that output. This means Machine B would require 10 hours + 50% of 10 hours = 10 + 5 = 15 hours to produce 1,500 units. Therefore, the production…

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Comments

HimanchalJan 23, 2024

appreciated!

What this question tests

What it tests

Your ability to combine individual work rates, usually by working with the fraction of a job completed per unit of time.

Common trap

Adding the times instead of the rates, or forgetting to take the reciprocal when combining rates.