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CBSE Class 10 Answered

A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more it would have taken 30 minutes less for the journey. Find the original speed of the train.
Asked by Topperlearning User | 12 Sep, 2017, 09:30: AM
answered-by-expert Expert Answer

 

Let the original speed of train be km/h.

then increased speed  km/hr                                                           



usual time hours                                                                                


New time hours


According to the question
                                                                                           

begin mathsize 12px style straight x squared plus 15 straight x minus 2700 equals 0
straight x squared plus 60 straight x minus 45 straight x minus 2700 equals 0
straight x open parentheses straight x plus 60 close parentheses minus 45 open parentheses straight x plus 60 close parentheses equals 0
open parentheses straight x plus 60 close parentheses open parentheses straight x minus 45 close parentheses equals 0
straight x equals negative 60 space or space 45 end style
                              
         
Rejecting the negative value, we have x = 45
Hence usual speed of train = 45 km/hr.
Answered by | 12 Sep, 2017, 11:30: AM
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