SOLUTION: the president of a company travels 1800 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 a total of 5 h. fi

Question 447457: the president of a company travels 1800 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 a total of 5 h. find the rate of the jet plane.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
Let r = the rate of the jet plane
Then r/4 = the rate of the prop plane
Since time = distance/rate, we can write the following formula for the time of the trip:
5 = 1800/r + 300/(r/4)
5 = 1800/r + 1200/r
Solve for r:
(1800 + 1200)/r = 5
3000 = 5r
r = 600 mph
Therefore the rate of the jet is 600 mph
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