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An express train takes 1 hr less than a passenger train to travel 132 km between Mysore and Bangaluru. If the average speed of the express train is 11 km / hr more than that of a passenger train. Then find the ratio of the speed of the two trains. |
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Answer» SPEED of passenger train = 33 km/hr, speed of EXPRESS train = 44 km/hr Let the AVERAGE speed of the passenger train be x km/hr. Then the average speed of express train = (x+11) Time taken by passenger train = x 132
hr Time taken by express train = x+11 132
hr = ( x 132
−1)hr ⇒x 2 +11x−1452=0 ⇒(x−33)(x+44)=0 ⇒(x−33)=0 or (x+44)=0 ⇒x=33 or x=−44 Speed can not be NEGATIVE, ⇒x=33, x+11=44 Hence, the speed of passenger train =33 km/hr and the speed of express train =44 km/hr please mark me as brain list |
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