SOLUTION: A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi by helicopter. The rate of the jet was four times the rate of the helicopter. The entire t
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Question 1021325: A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi by helicopter. The rate of the jet was four times the rate of the helicopter. The entire trip took 2.4 h. Find the rate of the jet. Found 2 solutions by stanbon, MathTherapy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi by helicopter. The rate of the jet was four times the rate of the helicopter. The entire trip took 2.4 h. Find the rate of the jet.
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Jet DATA:
dist = 532 mi ; rate = 4x mph ; time = 532/4x hrs
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Heli DATA:
dist = 95 mi ; rate = x mph ; time = 95/x hrs
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Equations:
time + time = 2.4 hr
532/4x + 95/x = 2.4 hr
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532x + 95*4x = 2.4x*4x
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912x = 9.6x^2
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9.6x^2 - 912x = 0
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2x(4.8x - 456) = 0
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x = 456/4.8
x = 99.13 mph (Heli rate)
4x = 396.52 mph (jet rate)
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Cheers,
Stan H.
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You can put this solution on YOUR website!
A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi by helicopter. The rate of the jet was four times the rate of the helicopter. The entire trip took 2.4 h. Find the rate of the jet.
Let jet's speed be S
Then helicopter's is: , or
The following time equation is thus formed:
Solving this produces a speed, or
(