SOLUTION: Please help me. No matter how hard I try I can't solve this problem. Write an equation for the problem and solve. An airplane flies from New Orleans, Louisiana to Atlanta, Georgia,

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Question 329312: Please help me. No matter how hard I try I can't solve this problem. Write an equation for the problem and solve. An airplane flies from New Orleans, Louisiana to Atlanta, Georgia, at an average rate of 350 miles per hour. The airplane then returns at an average rate of 250 miles per hour. The total travel time is 3 hours. Find the flying time from New Orleans to Atlanta. Thank you so much.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let the distance between the two cities be d
Distance+=+Rate%2A+Time
Time+=+Distance+%2F+Rate
You are told the total time is 3 hours
You also know the distance is the same going both ways.
Let the time at 350mph be given by t (in hours)
Then the time at 250 is 3-t
Since the distances are the same we know that
Rate%5B1%5D%2ATime%5B1%5D+=+Rate%5B2%5D%2ATime%5B2%5D
350t+=+250+%283+-+t%29
350t+=+750+-+250t
600t+=+750
t+=+750%2F600+=++1.25+ hours which is about 75 minutes
Chekc your answer
is 350*1.25 = 250 * (3-1.75)}}}