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The time taken for 200km at rate of x km/hr 200/x hrs Time to cover 200km at rate of x+5 km/hr 200/(x+5) hrs ATQ we have 200/x= 200/(x+5) +2 ⇒ 200(x + 5)= x(200+2x+10) ⇒ 200x +1000 = 210x + 2x² ⇒ x²+5x -500=0 Solving the quadratic equation ⇒ x= {-5+-√(25+1000)}/2=(-5+-45)/2= 20 (not considering -tive value) Value of x is 20