Question 1029290: one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane. Found 3 solutions by josgarithmetic, stanbon, MathTherapy:Answer by josgarithmetic(39623) (Show Source):
You can put this solution on YOUR website! Travel rates rule, RT=D
The faster plane goes the larger distance;
"while", indicated that the time quantities are equal for both planes
rate time distance
oneplane r+80 t 1750
otherplane r t 950
------solve this for r.
Note that another way is to start at the first shown system, perform the multiplication for the first equation (of the faster plane), and solve for t; and then use the second equation to solve for the value of r.
You can put this solution on YOUR website! one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.
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faster plane DATA:
rate = x + 80 mph ; distance = 1750 ; time = 1750/(x+80) hrs.
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slower plane DATA:
rate = x mph ; distance = 950 ; time = 850/x hrs
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Equation::
time = time
1750/(x+80) = 850/x
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1750x = 850x + 80*850
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900x = 80*850
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x = 75.56 mph
x+80 = 155.56 mph
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Cheers,
Stan H.
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You can put this solution on YOUR website!
one plane travels 80 mph faster than another. While one travels 1750 miles, the other travels 950 miles. find the speed of each plane.
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