SOLUTION: two trains A and B travels to each other.The distance between train A and B is 900 km. Train A start travelling at 9 AM with speed 150 km/hour and train B start travelling at 11

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Question 894637: two trains A and B travels to each other.The distance
between train A and B is 900 km. Train A start travelling at
9 AM with speed 150 km/hour and train B start travelling
at 11 AM with speed 120 km/hour.At what time both trains
meet together?

Answer by KMST(5347) About Me  (Show Source):
You can put this solution on YOUR website!
t= hours since 9 AM.
For any time not before 9AM , t%3E=0 ,
train A has traveled 150%2Atkm .
For any time not before 11AM , t%3E=2 ,
train B has traveled 120%2A%28t-2%29km .
If they are to meet at a time such that t%3E=2 ,
150t%2B120%28t-2%29=900
150t%2B120t-120%2A2=900
150t%2B120t-240=900
270t=900%2B240
270t=1140
t=1140%2F270
t=38%2F9 or t=4%262%2F9
2%2F9hour=2%2A60minutes%2F9=40%2F3minutes=13%261%2F3minutes
1%2F3minute=60seconds%2F3=20seconds
So the trains will meet 4 hours, 13 minutes and 20 seconds after 9 AM.
At that time it will be 1:13:20 PM.