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A train covers a distance of 90 km at...

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.

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VK GLOBAL PUBLICATION-QUADRATIC EQUATIONS-PROFICIENCY EXERCISE Short Answer Questions-II
  1. Find whether the following equations have real roots. If real roots ex...

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  2. Solve for x: (x-3)/(x-4)+(x-5)/(x-6)=(10)/(6),xne4,6

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  3. Solve: (x-2)/(x-3)+(x-4)/(x-5)=3(1)/(3),xne3,5.

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  4. 3((3x-1)/(2x+3))-2((2x+3)/(3x-1))=5, x!=1/3,-3/2

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  5. The sum of the squares of two consecutive even numbers is 244. Find th...

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  6. Solve for : 2/(x+1)+3/(2(x-2))=(23)/(5x);x!=0,-1,2

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  7. The difference of two natural numbers is 5 and the difference of their...

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  8. Find a natural number whose square diminished by 84 is equal to thrice...

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  9. A two digit number is such that the product of its digits is 18. When ...

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  10. Sum of the areas of two squares is 640 m^2 . If the difference of ...

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  11. At present Asha's age (in years) is 2 more than the square of her daug...

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  12. There is a square field whose side is 44m. A square flower bed is p...

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  13. At t minutes past 2 pm, the time needed by the minutes hand of a clock...

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  14. A train covers a distance of 90 km at a uniform speed. Had the spee...

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  15. In a class test, the sum of the marks obtained by P in Mathematics ...

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  16. If the list price of a toy is reduced by Rs. 2, a person can buy 2 ...

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  17. Solve 1/(a+b+x)=1/a+1/b+1/x,a+b !=0

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  18. 3/(x+1)+4/(x-1)=29/(4x-1); x!=1,-1,1/4

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  19. A motorboat whose speed is 24 km/hr in still water takes 1 hr more to ...

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  20. Solve by factorization: a/(x-a)+b/(x-b)=(2c)/(x-c)

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