A PASSANGER TRAIN TAKES TWO HOURS LESS FOR A JOURNEY OF 300KM IF ITS SPEED IS INCREASED BY 5KM/HR.FIND ITS NORMAL SPEED.

• Let original distance and time be s and t.
  then two equations can be formed:
  300=s*t
  300=(t-2)(s+5)
  find the value of s from first equation and substitute it in second then we get a quadratic in t as follows: t^2 -2t-120=0
  on solving we get t=12
  therefore normal speed is 300/12=25km/hr
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