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Rd sharma solutions

CHAPTERS

6. Algebraic Expressions and Identities

8. Division of Algebraic Expressions

9. Linear Equation in One Variable

10. Direct and Inverse Variations

13. Profit Loss Discount and Value Added Tax

15. Understanding Shapes Polygons

16. Understanding Shapes Quadrilaterals

17. Understanding Shapes Special Types Quadrilaterals

20. Area of Trapezium and Polygon

21. Volume Surface Area Cuboid Cube

22. Surface Area and Volume of Right Circular Cylinder

23. Classification And Tabulation Of Data

24. Classification And Tabulation Of Data Graphical Representation Of Data As Histograms

25. Pictorial Representation Of Data As Pie Charts Or Circle Graphs

A cistern can be filled by one tap in 8 hours, and by another in 4 hours. Howlong will it take to fill the cistern if both taps are opened together?

The given details are,

A cistern can be filled by one tap in = 8 hours

A cistern filled by one tap in 1 hour = 1/8

Another cistern can be filled in = 4 hours

Cistern filled by another tap in 1 hour = 1/4

Total cistern filled in 1 hour = 1/4 + 1/8

= (2+1)/8

= 3/8

∴ Cistern can be filled when both the taps are opened together in = 8/3 = 2 2/3 hours

Algebraic Expressions and Identities

Division of Algebraic Expressions

Linear Equation in One Variable

Profit Loss Discount and Value Added Tax

Understanding Shapes Quadrilaterals

Understanding Shapes Special Types Quadrilaterals

Volume Surface Area Cuboid Cube

Surface Area and Volume of Right Circular Cylinder

Classification And Tabulation Of Data

Classification And Tabulation Of Data Graphical Representation Of Data As Histograms

Pictorial Representation Of Data As Pie Charts Or Circle Graphs

The given details are,

A cistern can be filled by one tap in = 8 hours

A cistern filled by one tap in 1 hour = 1/8

Another cistern can be filled in = 4 hours

Cistern filled by another tap in 1 hour = 1/4

Total cistern filled in 1 hour = 1/4 + 1/8

= (2+1)/8

= 3/8

∴ Cistern can be filled when both the taps are opened together in = 8/3 = 2 2/3 hours

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