passengen desain takes 1 2/3
you a journey of 400km
if the speed is increased by
8 km/her from the designed speed.
Find disigned sped.
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expressing time in hours, difference in time= 0.5 hour let usual speed be x time= distance/speed so (440/x)-(440/(x+8))= 0.5 440{(x+8)-x}=0.5x(x+8) 440*8=0.5(x^2)+4x 0.5(x^2)+4x-3520=0 (x^2)+8x-7040=0 (x^2)+88x-80x-7040=0 (x+88)(x-80)=0 x=80
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