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A train travels 180 km at a uniform spee...

A train travels 180 km at a uniform speed. If the speed had been 9 km/hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.

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Verified by Experts

The correct Answer is:
36 km/hr

Let the speed be x km/hr. Then,
`(180)/(x)-(180)/((x+9))=1`
`impliesx^(2)+9x-1620=0impliesx^(2)+45x-36x-1620=0.`
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RS AGGARWAL-QUADRATIC EQUATIONS -Exercise 4E
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