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Rd sharma solutions
Grade 8 
Mathematics
Mathematics class 8th RD Sharma
Time and Work
Time and Work Exercise 11.1
Question 6
Mathematics
Mathematics class 8th RD Sharma
Time and Work
Time and Work Exercise 11.1
Question 6
Time and Work | Time and Work Exercise 11.1
Question 6
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, B and C working together can do a piece of work in 8 hours. A alone can do itin 20 hours and B alone can do it in 24 hours. In how many hours will C alone dothe same work?
The given details are,
A can do a piece of work in 20 hoursWork done by A in 1 hour = 1/20
B can do same work in = 24 hours Work done by B in 1 hour = 1/24
A, B and C working together can do the same work in = 8 hours
Work done by A, B, C together in 1 hour = 1/8
We know that,
Work done by C in 1 hour = (work done by A,B and C in 1 hour) – ( work done by A And B in 1 hr.)
= 1/8 – (1/20 + 1/24)
= 1/8 – 11/120
= (15-11)/120 (by taking LCM for 8 and 120 which is 120)
= 4/120
= 1/30
∴ Time taken by C alone to complete the work = 1/(1/30) = 30hours.
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
Question 6
A, B and C working together can do a piece of work in 8 hours. A alone can do itin 20 hours and B alone can do it in 24 hours. In how many hours will C alone dothe same work?
The given details are,
A can do a piece of work in 20 hoursWork done by A in 1 hour = 1/20
B can do same work in = 24 hours Work done by B in 1 hour = 1/24
A, B and C working together can do the same work in = 8 hours
Work done by A, B, C together in 1 hour = 1/8
We know that,
Work done by C in 1 hour = (work done by A,B and C in 1 hour) – ( work done by A And B in 1 hr.)
= 1/8 – (1/20 + 1/24)
= 1/8 – 11/120
= (15-11)/120 (by taking LCM for 8 and 120 which is 120)
= 4/120
= 1/30
∴ Time taken by C alone to complete the work = 1/(1/30) = 30hours.
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