SOLUTION: A jet travels 860 km between two cities. It then proceeds to travel at the same speed for an additional 1,030 km in a time that is 0.3 hours longer than the first trip. How much ti

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A jet travels 860 km between two cities. It then proceeds to travel at the same speed for an additional 1,030 km in a time that is 0.3 hours longer than the first trip. How much ti      Log On

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Question 956609: A jet travels 860 km between two cities. It then proceeds to travel at the same speed for an additional 1,030 km in a time that is 0.3 hours longer than the first trip. How much time (in hours) did the second trip require?
Answer by lwsshak3(11628) About Me  (Show Source):
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A jet travels 860 km between two cities. It then proceeds to travel at the same speed for an additional 1,030 km in a time that is 0.3 hours longer than the first trip. How much time (in hours) did the second trip require?
***
let x=travel time of 2nd trip
x-0.3=travel time of 1st trip
speed=distance/travel time (same for both trips)
..
1030%2Fx=860%2F%28x-0.3%29
1030/x=860/(x-0.3)
860x=1030(x-0.3)
860x=1030x-309
170x=309
x≈1.82
How much time (in hours) did the second trip require? 1.82