SOLUTION: Gardener A can mow an entire lawn in 1 hour less than gardener B .If they work together they can mow the lawn in 20/9 hours how many hours will it take gardener A to mow the lawn a
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Question 626926: Gardener A can mow an entire lawn in 1 hour less than gardener B .If they work together they can mow the lawn in 20/9 hours how many hours will it take gardener A to mow the lawn alone?
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
Suppose that A can mow the lawn in hours.
Then, B can mow the lawn in hours.
In 1 hour, A can mow fraction of the lawn.
In 1 hour, B can mow fraction of the lawn.
Therefore, in 1 hour, A and B can together mow fraction of the lawn.
Thus, A and B can together mow the entire lawn in hours.
Given,
Product of two quantities is zero if at least one of them is zero.
Therefore, either or .
Since t is time and can't be negative so or is the solution.
Ans: Gardener A can mow the lawn alone in 4 hours.
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