SOLUTION: Two trains leave a city traveling 55 miles per hour and 65 miles per hour. The faster train leaves half an hour after the slower train. How long will it take to the faster train to

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Question 886099: Two trains leave a city traveling 55 miles per hour and 65 miles per hour. The faster train leaves half an hour after the slower train. How long will it take to the faster train to reach the slower train? Let x represent the number of hours the faster train traveled and let y represent the number of hours the slower train traveled.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Two trains leave a city traveling 55 miles per hour and 65 miles per hour. The faster train leaves half an hour after the slower train. How long will it take to the faster train to reach the slower train? Let x represent the number of hours the faster train traveled and let y represent the number of hours the slower train traveled.
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let x=travel time of faster train
let y=travel time of slower train
y-x=0.5
y=x+0.5
distance=speed*travel(same for both trains)
..
65x=55y
65x=55(x+0.5)
65x=55x+27.5
10x=27.5
x=2.75
How long will it take to the faster train to reach the slower train? 2.75 hrs