A train 132km at a uniform speed , if the speed has been 11km / hr. more it would have taken 1hr less for the same journey. Find the speed of the train
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Answer:
44 km
Step-by-step explanation:
Let x km per hour be the average speed of the passenger train, then the average speed of the express train will be (x+11) km per hour.
The time taken by the passenger train is x132 hour and the time taken by the express train is (x+11)132 hour. So,
x+11132=x132+1
x2+11x−1452=0
x2+44x−33x−1452=0
(x−33)(x+44)=0
x=33,x=−44
The speed cannot be negative, so the speed of the passenger train is 33 km per hour and the speed of the express train is 33+11=44 km per hour.
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