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A train travels a distance of 480 km ...

A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. Formulate the quadratic equation in terms of the speed of the train.

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Represent the following situations in the form of quadratic equations : (i) The area of a rectangular plot is 528 m^2 . The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot. (ii) The product of two consecutive positive integers is 306. We need to find the integers. (iii) Rohan’s mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan’s present age. (iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/h less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.

A train travels 360 km at a uniform speed. If the speed had been 5km/hr more, it would have taken 1 hour less for the same journey. Form the quadratic equation to find the speed of the train.

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A train travels 180 km at a uniform speed. If the speed had been 9 km/hour more, it would have taken 1 hour less for the same journey. Find the speed of the train.

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A train covers a distance of 90 km at a uniform speed. Had the speed been 15 km/hr more, it would have taken 30 minutes less for the journey. Find the original speed of the train.

A train covers a distance of 360 km at a uniform speed. Had the speed been 5km/hour more, it would have taken 48 minutes less for the journey. Find the original speed of the train

A train travels a distance of 300 km at constant speed. If the speed of the train is increased by 5 km an hour, the journey would have taken 2 hours less. Find the original speed of the train.

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled tune. And. if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by the train.

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. The area of a rectangular plot is 528\ m^2 . The length of the p...

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  2. Rohan’s mother is 26 years older than him. The product of their age...

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  3. A train travels a distance of 480 km at a uniform speed. If the spe...

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  4. The product of two consecutive positive integers is 306. Form the q...

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  5. John and Jivanti together have 45 marbles. Both of them lost 5 marb...

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  6. A cottage industry produces a certain number of toys in a day. The ...

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  7. The height of a right triangle is 7cm less than its base. If the hy...

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  8. A train travels 360 km at a uniform speed. If the speed had been 5k...

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  9. Solve the following quadratic equations by factorization method: (...

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  10. Solve the following quadratic equations by factorization method: 1/...

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  11. Solve by factorization: (x-4)(x+2)=0

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  12. Solve by factorization: (2x+3)(3x-7)=0

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  13. Solve by factorization: x^2-(sqrt(3)+1)x+sqrt(3)=0

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  14. Solve by factorization: 9x^2-3x-2=0

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  15. Solve by factorization: 3sqrt(5)x^2+25 x-10sqrt(5)=0

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  16. Solve by factorization: 6x^2+11 x+3=0

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  17. Solve by factorization: 5x^2-3x-2=0

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  18. Solve by factorization: 48 x^2-13 x-1=0

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  19. Solve by factorization: 3x^2=-11 x-10

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  20. Solve by factorization: 25 x(x+1)=-4

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