Answered

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adrian wants his lawn to be mown 3 men apply for the task the first man can mow the lawn in 6 hours the second man can mow the lawn in 4 hours the third man can mow the lawn in 3 hours how long will it take for the 3 men to complete the task if all of them mowed the lawn together

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musiclover10045

First man mows the lawn in 6 hours so he mows 1/6 of the lawn per hour

Second man mows at 1/4 lawn per hour

Third man mows at 1/3 lawn per hour

The total of the three: 1/6 + 1/4 + 1/3 = 2/12 + 3/12 + 4/12 = 9/12 = 3/4 of a lawn per hour.

1 lawn / 3/4 lawn per hour =  1 and 1/3 hours all together.

Answer: 1 and 1/3 hours

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