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To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hou…

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To travel 660 km, an Express train takes 10 hours more than Rajdhani. If however, the speed of the Express train is doubled, it takes 7 hours less than Rajdhani. The speed of Rajdhani is
  • A38.8 km/hr
  • B16.2 km/hr
  • C50.1 km/hr
  • D27.5 km/hr
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Let time taken by Rajdhani be y hrs

Let the speed of Express train be x km/hr

Time taken by Express train = 660/x

660/x = y + 10 ----(1)

New speed of Express train be 2x km/hr

Time taken by Express train = 2x/660

660/2x = y - 7 ----(2)

From (1) and (2) we get x = (660/34) km/hr and y = 24 hr

Speed of Rajdhani = 660/24 = 27.5 km/hr