Answer :
It will take Tina and Marisa approximately 42.3529 minutes (rounded) to weed the vegetable garden together.
When Tina works alone, she can weed her vegetable garden in 90 minutes. Marisa, on the other hand, can complete the same task in 80 minutes by herself.
To find out how long it takes for Tina and Marisa to weed the vegetable garden together, we can use the concept of work rates.
Tina's work rate is determined by the fraction of the task she can complete in 1 minute, which is 1/90. Similarly, Marisa's work rate is 1/80.
When they work together, their work rates are combined. So, Tina and Marisa's combined work rate is the sum of their individual work rates: 1/90 + 1/80.
To find the amount of time it takes for them to complete the task together, we can use the formula:
Time = 1 / Combined work rate
Substituting the combined work rate into the formula, we get:
Time = 1 / (1/90 + 1/80)
Simplifying the expression further, we can find the common denominator and add the fractions:
Time = 1 / (8/720 + 9/720)
Time = 1 / (17/720)
To divide by a fraction, we can multiply by its reciprocal:
Time = 1 * (720/17)
Time = 42.3529 minutes (rounded to four decimal places)
Therefore, it will take Tina and Marisa approximately 42.3529 minutes (rounded) to weed the vegetable garden together.
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