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(ii) A car covers a distance of 270 kms with some speed. If the speed isdecreased by 10 km/hr, it will take 54 minutes more to cover the samedistance. Find the original speed of the car.(solve) |
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Answer» Let the speed of CAR is x. Speed of carbon speed is DECREASED by 10 Km/hour = x-10. = 270/x-10 - 270/x =54/60. = 1/x-10 - 1/x = 54/60 X 270. = x-x + 10/x(x-10) = 1/300 = 10 X 300 = x^2 - 10 x = x^2 - 10 x -3000 = 0 = x^2 - 60 +50x-3000=0 = x (x-60) +50(x-60)=0 = (x-60) (x+50) = 0 THEREFORE, (x-60)=0 So , x= 60 km/h |
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