SOLUTION: Hi please help thank you. Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 hr before the second train. The first train travels at 55 mi/hr. The sec

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Hi please help thank you. Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 hr before the second train. The first train travels at 55 mi/hr. The sec      Log On

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Question 955704: Hi please help thank you. Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 hr before the second train. The first train travels at 55 mi/hr. The second train travels at 65 mi/hr. How long does it take for the second train to pass the first train.
Answer by lwsshak3(11628) About Me  (Show Source):
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Two trains run on two sets of parallel tracks. The first train leaves a city 1/2 hr before the second train. The first train travels at 55 mi/hr. The second train travels at 65 mi/hr. How long does it take for the second train to pass the first train.
***
let x=travel time of 2nd train
x+1/2=travel time of 1st train
speed*travel time=distance (same for both trains)
..
55(x+1/2)=65x
55x+27.5=65x
10x=27.5
x=2.75
How long does it take for the second train to pass the first train. 2.75 hrs