SOLUTION: A light plane took 1 hr longer to travel 450 mi on the first portion of a trip than it took to fly 300 mi on the second. If the speed was the same for each portion, what was the fl

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A light plane took 1 hr longer to travel 450 mi on the first portion of a trip than it took to fly 300 mi on the second. If the speed was the same for each portion, what was the fl      Log On

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Question 963985: A light plane took 1 hr longer to travel 450 mi on the first portion of a trip than it took to fly 300 mi on the second. If the speed was the same for each portion, what was the flying time for each part of the trip?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
Another question of this same form was already answered. Try generalizing, in case more of this
type are found.

___________________speed___________time__________distance
PART1_______________r______________t+k___________U
PART2_______________r_______________t____________V

Uniform Travel Rates Rule, RT=D for relating rate, time, distance.

Your example uses
UNKNOWNS: r, t
KNOWNS:
k=1
U=450
V=300

The question is asking for the value or solution for t.

system%28r%28t%2Bk%29=U%2Crt=V%29
r=V%2Ft
-
Substitute that:
%28V%2Ft%29%28t%2Bk%29=U
V%2B%28Vk%29%2Ft=U
%28Vk%29%2Ft=U-V
Vk=t%28U-V%29
highlight%28%28Vk%29%2F%28U-V%29=t%29----symbolic solution for time t. This would be for part two of the trip.