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If the speed of a car is increased by 10km per hr,it takes 18 minutes less to cover a distance of 36 km . Find the speed of the car

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in Mathematics by (35 points)
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If the speed of a car is increased by 10km per hr,it takes 18 minutes less to cover a distance of 36 km . Find the speed of the car

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1 Answer

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Let speed of the car be x km/hr

So

36/x-36/(x+10) =18/60

=>120(x+10-x)=x^2+10x

=>x^2+10x-1200=0

=>x^2+40x-30x-1200=0

=>x(x+40)-30(x+40)=0

=>(x+40)(x-30)=0

hence x= 30km/hr
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