SOLUTION: An express train takes 1 hour less than a passenger train to travel 132 km between two stations a and b .if the average speed of express train is 11 km/hr than that of the passenge

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Question 424009: An express train takes 1 hour less than a passenger train to travel 132 km between two stations a and b .if the average speed of express train is 11 km/hr than that of the passenger train , find the average speed of each train
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Passenger = x km/hr
Express = x + 11 km/hr
132%2Fx+-+132%2F%28x%2B11%29+=+1
==> +1%2Fx++-+1%2F%28x%2B11%29+=+1%2F132
<==> %28x%2B11+-+x%29%2F%28x%28x%2B11%29%29+=+1%2F132
<==> 1452+=+x%28x%2B11%29
<==> 0+=+x%5E2+%2B+11x+-+1452
<==> (x-33)(x + 44) = 0
==> x = 33 km/hr, the rate of the passenger train, and
x + 11 = 44 km/hr, the rate of the express train.
(Eliminate the negative solution of the quadratic equation.)