Hand Tractor Small
Algebra Question?
A farmer can plow a field in 4 days by using a tractor. A hired hand can plow the same field in 6 days by using a smaller tractor. How many days will be required for the plowing of this field if they work together?
I got that it was one and a half days and just wanted to confirm it.
Let
1/4 the larger Tractor time
1/6 the smaller tractor time
1 equals the two tractors together
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1/4x + 1/6x = 1
The common denominator is 12
12(1/4x) + 12(1/6x) = 12(1)
3x + 2x = 12
5x = 12
5x/5 = 12/5
x = 2.4
The answer is x = 2.4
The solution set is { 2.4 }
Insert the x value into the equation
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Chedk
1/4x + 1/6x = 1
1/4(2.4) + 1/6(2.4) = 1
2.4/4 + 2.4/6 = 1
0.6 + 0.4 = 1
1 = 1
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