A RTC bus travels 200 km at uniform speed. If speed had been
10 km/h less, it would have taken 1 hour more for the same
journey. Write suitable quadratic equation for given data.
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Answer:
Speed =200 km
speed distance/time
Let time taken be x
Uniform speed=200/x
Less speed=200/x-10
So,according to the question
200/x-200/x-10=1
200(x-10)-200x/x(x-10)=1
200x-2000-200x=x^2-10x
x^2-10x+2000=0
x^2-50x+40x+2000=0
x(x-50)-40(x-50)=0
(x-40)(x-50)=0
x=40 or 50
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