SOLUTION: Katy leaves Las Vegas for Los Angeles at 10 AM, driving at 50 mph. At 11 AM, Jensen leaves Los Angeles for Las Vegas, driving at 70 mph along the same route. If the cities are 260

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Katy leaves Las Vegas for Los Angeles at 10 AM, driving at 50 mph. At 11 AM, Jensen leaves Los Angeles for Las Vegas, driving at 70 mph along the same route. If the cities are 260      Log On

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Question 326711: Katy leaves Las Vegas for Los Angeles at 10 AM, driving at 50 mph. At 11 AM, Jensen leaves Los
Angeles for Las Vegas, driving at 70 mph along the same route. If the cities are 260 miles apart,
at what time will they meet?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
Katy travels a distance of 50t miles.
Jensen travels a distance of 70(t-1), because he leaves an hour later.
Between them they travel 260 miles.
50t%2B70%28t-1%29=260
50t%2B70t-70=260
120t=330
t=11%2F4=2.75 hours.
This means Kate drove for 2 hours and 45 minutes and met Jensen at 12:45 pm.
Since Jensen left an hour later, he drove for 1 hour and 45 minutes.
Kate drove 50*(11/4)=137.5 miles and Jensen drove 70*(7/4)=122.5 miles. Add them and we get 260 miles total.