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A child traveled 1350 mi by jet and the an additional 135 mi by helicopter.The rate of the jet was
5 times the rate of the helicopter.the entire trip took 4.5 hours.Find the rate of the jet.
Solution
Equation:
time + time = 4.5 hrs
135/x + 1350/5x = 4.5
---
135/x + 270/x = 4.5
(405/x) = 9/2
Invert both sides to get:
x/405 = 2/9
Multiply both sides by 405 to get:
x = (2/9)*405
x = 90 mph (helicopter rate)
5x = 450 mph (jet rate)

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  • 1. A child traveled 1350 mi by jet and the an additional 135 mi by helicopter.The rate of the jet was 5 times the rate of the helicopter.the entire trip took 4.5 hours.Find the rate of the jet. Solution Equation: time + time = 4.5 hrs 135/x + 1350/5x = 4.5 --- 135/x + 270/x = 4.5 (405/x) = 9/2 Invert both sides to get: x/405 = 2/9 Multiply both sides by 405 to get: x = (2/9)*405 x = 90 mph (helicopter rate) 5x = 450 mph (jet rate)