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

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.
-----------
Jet DATA:
dist = 532 mi ; rate = 4x mph ; time = 532/4x hrs
-----
Heli DATA:
dist = 95 mi ; rate = x mph ; time = 95/x hrs
--------
Equations:
time + time = 2.4 hr
532/4x + 95/x = 2.4 hr
-----
532x + 95*4x = 2.4x*4x
----------------------------
912x = 9.6x^2
-----
9.6x^2 - 912x = 0
------
2x(4.8x - 456) = 0
------
x = 456/4.8
x = 99.13 mph (Heli rate)
4x = 396.52 mph (jet rate)
------------
Cheers,
Stan H.
------------
Answer by MathTherapy(10555) (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.

Let jet's speed be S
Then helicopter's is: , or
The following time equation is thus formed:
Solving this produces a speed, or
RELATED QUESTIONS
A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi (answered by mananth)
A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi (answered by josgarithmetic)
an insurance representative traveled 735 mi by commercial jet and then an additional 105... (answered by stanbon)
An insurance representative traveled 1350 mi by commercial jet and then an additional 135 (answered by Alan3354,josgarithmetic)
can you help? an insurance representative traveled 735 miles by commercial jet and... (answered by richwmiller)
a forest ranger traveled 1080 mi by jet and then an additional 180 mi by helicopter. the (answered by mananth)
a girl traveled 1350 mi by jet then an additional 135 mi by helicopter. the rate of the... (answered by stanbon)
A child traveled 1350 mi by jet and the an additional 135 mi by helicopter.The rate of... (answered by stanbon)
Jane traveled 1080 miles by jet and then an additional 180 miles by helicopter. The rate... (answered by ramkikk66)