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Answer :
Final answer:
Working together, Fred and Vanessa can mow the lawn in 80/3 minutes.
Explanation:
Fred can mow a lawn in 40 minutes and Vanessa can mow the same lawn in 80 minutes. To find out how long it takes for both Fred and Vanessa to mow the lawn together, we can use the concept of work rate. Fred's work rate is 1/40 of the lawn per minute, while Vanessa's work rate is 1/80 of the lawn per minute. When they work together, their work rates add up, so:
1/40 + 1/80 = 2/80 + 1/80 = 3/80
This means that together, they can mow 3/80 of the lawn per minute. In other words, it would take them 80/3 minutes to mow the entire lawn if they worked together.
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