Mark M. answered • 03/13/15

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In one hour the slow sloth does 1/24 of the job.

In one hour the middle sloth does 1/16 of the job.

In one hour the fast sloth does 1/12 of the job.

In x hours the slow sloth does x/24 of the job

In x hours the middle sloth does x/16 of the job

In x hours the fast sloth does x/12 of the job

Together they do the one job.

x/24 + x/16 + x/12 = 1 Multiple by LCM

2x + 3x + 4x = 48

9x = 48

x = 5.3333333

They take 5 and 1/3 hour to complete the job.

At what time do they finish?

How much pay does each get?