SOLUTION: The president of a company traveled 1600 mi by jet and 300 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 10 h. Find the ra

Algebra.Com
Question 1173836: The president of a company traveled 1600 mi by jet and 300 mi on a prop plane. The rate of the jet was four times the rate of the prop plane. The entire trip took 10 h. Find the rate of the jet.
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
.

x = rate of the prop plane;

4x = rate of the jet.


The time equation is


     +  = 10  hours.


Simplify

     +  = 10

     = 10


       x   =  = 70 miles per hour  is the rate of the prop plane.

Hence, the rate of the jet is  4*70 = 280 mph.


CHECK.   +  =  +  =  = 10 hours.   ! Correct !

Solved.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The other tutor provided a good formal algebraic solution to the problem.

If formal algebra is not required, note that a quick informal solution can be obtained by using logical reasoning and some simple mental arithmetic.

Since the rate of the jet is 4 times the rate of the prop plane, 1600 miles by jet is equivalent to 400 miles in the prop plane.
That makes the trip equivalent to 700 miles on the prop plane in 10 hours.
That makes the speed of the prop plane 700/10 = 70mph; and then the speed of the jet is 4 times that, or 280mph.

ANSWER: 280 mph for the jet.
RELATED QUESTIONS

The president of a company traveled 1600 mi by jet and 300 mi on a prop plane. The rate... (answered by richwmiller)
The president of a company traveled 1800 mi by jet and 300 mi on a prop plane. The rate... (answered by stanbon)
the president of a company travels 1800 mi by jet and 300 mi on a prop plane. the rate of (answered by htmentor)
The president of a company traveled 1800 mi by jet and 200 mi on a prop plane. The rate... (answered by josgarithmetic,josmiceli,MathTherapy)
The President of a company traveled 1600 miles by jet and 400 miles on a prop plane. The... (answered by scott8148)
A child traveled 1350 mi by jet and the an additional 135 mi by helicopter.The rate of... (answered by stanbon)
The president of a small college travelled on a prop plane for 300 miles, then took a jet (answered by stanbon)
a forest ranger traveled 1080 mi by jet and then an additional 180 mi by helicopter. the (answered by mananth)
A insurance representative traveled 532 mi by commercial jet and then an additional 95 mi (answered by mananth)