It takes 1 hour 43 minutes to finish mowing the lawn.
The rate of work done by Gregory and Jennifer finish mowing the lawn in
1 hour 43 minutes.
According to the question
Gregory can mow the family's lawn in 3 hours, she mows at a rate of 1/3 of the lawn per hour(1/3 lawn/hour)
Jennifer can mow it in 4 hours, which means her rate is 1/4 lawn/hour.
Together , their rates are 1/3 + 1/4.
This equals 7/12 lawns/hr.
We want to know how many hours they have to mow in order to mow 1 lawn.
This can be represented by the equation : [tex]\frac{7}{12} \times x = 1[/tex]
To solve for x, we would divide both sides by 7/12.
This leaves us with x = 12/7 which is 1.714.
Convert 1.714 to minutes by multiplying 60.
This gives you a final answer of about 1 hour 43 minutes.
Hence, It takes 1 hour 43 minutes to finish mowing the lawn.
The rate of work done by Gregory and Jennifer finish mowing the lawn in
1 hour 43 minutes.
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