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A train covered a certain distance at a uniform speed. If the train had been 5 kmph faster, it would have taken 3 hours less than the scheduled time. And, if the train were slower by 4 kmph, it would have taken 3 hours more than the scheduled time. Find the length of the journey. |
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Answer» Correct Answer - 1080 km Let the original speed of the train be x kmph and let the time taken to complete the journey be y hours. Then, length of the journey = xy km. Case I Speed = `( x + 5)` kmph and time taken = ` ( y - 3) ` hours. ` therefore xy = (x + 5) ( y - 3 ) rArr 5y - 3x = 15" "`... (i) Case II Speed ` = ( x - 4) `kmph and time taken ` = ( y + 3) ` hours ` therefore xy = (x - 4) ( y + 3) rArr 3x - 4y = 12 " " `... (ii) From (i) and (ii), we get ` x = 40 and y = 27` . ` therefore ` length of the journey = ` x y = 40 xx 27 ` km = 1080 km. |
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