SOLUTION: The president of a company traveled 1800 mi by jet and 200 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 8 hr. Find the ra

Question 1148226: The president of a company traveled 1800 mi by jet and 200 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 8 hr. Find the rate of the jet
Found 3 solutions by josgarithmetic, josmiceli, MathTherapy:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!

SPEED TIME DISTANCE JET 4r 1800/(4r) 1800 PLANE r 200/r 200 TOTAL 8

, the speed of the jet
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = time in hrs for the jet
= time in hrs for the prop plane
Let = the speed of the prop plane in mi/hr
= the speed in mi/hr of the jet
----------------------------------------------------
Equation for jet:
(1)
(1)
Equation for prop plane:
(2)
-------------------------------
(1)
Plug (1) into (2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
(1)
and

The speed of the jet is 325 mi/hr
-------------------------------------
check answer:
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2)
OK
Get a 2nd opinion if needed

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The president of a company traveled 1800 mi by jet and 200 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 8 hr. Find the rate of the jet

Let rate of jet be S
Then rate of prop plane =
So, we now get the following TIME equation:
---- Multiplying by LCN, 8
225 + 100 = S ----- Multiplying by LCD, S
S, or
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