Let n be the amount of time it takes william to cut the lawn. Then Shelly takes
n-2 hours. So:
1/n+1/n-2=1/3
3(n-2)+3n=n²-2n
6n-6=n²-2n
n²-8n+6=0
Using the quadratic formula, we get a positive value of 7.1623 hrs as the amount of time william takes working alone, and 5.1623 as the amount of time Shelly takes working alone
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Answer: 20/5
Step-by-step explanation:
Divide 20/5
When A is divided: A /
By the sum of a certain number and 10: (n + 10)
When A is divided by the sum of a certain number and 10: A / (n + 10)
The result is the same as: =
Dividing 3: 3 /
By the sum of that number and 4: (n + 4)
The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).
Final Equation: A / (n + 10) = 3 / (n + 4)
To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.
3(n + 10) = A(n + 4)
3n + 30 = An + 4A
30 - 4A = An - 3n
30 - 4A = n(A - 3)
n = (30 - 4A) / (A - 3)
If you know the value of A, then please plug it in to the value for n given above.
Hope this helps!
