SOLUTION: a girl traveled 1350 mi by jet then an additional 135 mi by helicopter. the rate of the jetis five times the rate of the helicopter. The entire trip took 4.5 hours.what is the rate
Algebra ->
Customizable Word Problem Solvers
-> Finance
-> SOLUTION: a girl traveled 1350 mi by jet then an additional 135 mi by helicopter. the rate of the jetis five times the rate of the helicopter. The entire trip took 4.5 hours.what is the rate
Log On
Question 743222: a girl traveled 1350 mi by jet then an additional 135 mi by helicopter. the rate of the jetis five times the rate of the helicopter. The entire trip took 4.5 hours.what is the rate of the jet.
How to solve. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a girl traveled 1350 mi by jet then an additional 135 mi by helicopter. the rate of the jet is five times the rate of the helicopter. The entire trip took 4.5 hours.what is the rate of the jet.
---------------------------------------------
Let the rate of the helicopter be x mph
Then the rate of the jet is 5x mph
-------------------------------------
time for the jet = 1350/5x = 270/x hrs
time for the helicopter = 135/x hrs
--------
Equation:
time + time = 4.5 hrs
(270/x) + (135/x) = 4.5
-----
(270+135)/x = 4.5
x = 405/4.5
x = 90 mph (speed of the helicopter)
5x = 450 mph (speed of the jet)
===================================
Cheers,
Stan H.