Advertisements
Advertisements
Question
Rohan can paint \[\frac{1}{3}\] of a painting in 6 days. How many days will he take to complete the painting?
Advertisements
Solution
\[\text{ Rohan can paint } \frac{1}{3}\text{ rd of a painting in 6 days } . \]
\[ \therefore \text{ Time taken by Rohan to complete the painting } = \left( 6 \times 3 \right) \text{ days = 18 days } .\]
RELATED QUESTIONS
In which of the following tables x and y vary directly?
(i)
| a | 7 | 9 | 13 | 21 | 25 |
| b | 21 | 27 | 39 | 63 | 75 |
(ii)
| a | 10 | 20 | 30 | 40 | 46 |
| b | 5 | 10 | 15 | 20 | 23 |
(iii)
| a | 2 | 3 | 4 | 5 | 6 |
| b | 6 | 9 | 12 | 17 | 20 |
(iv)
| a | 12 | 22 | 32 | 42 | 52 |
| b | 13 | 23 | 33 | 43 | 53 |
68 boxes of a certain commodity require a shelf-length of 13.6 m. How many boxes of the same commodity would occupy a shelf length of 20.4 m?
If 25 men earn Rs 1000 in 10 days, how much will 15 men earn in 15 days?
For fixed time period and rate of interest, the simple interest is directly proportional to the principal.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The distance travelled by CNG bus and the amount of CNG used.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the quantity of work.
From the following table, determine if x and y are in direct proportion or not.
| x | 4 | 7 | 10 | 16 |
| y | 24 | 42 | 60 | 96 |
Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.
| Mixture A | Mixture B |
 |
 |
If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?
Work with a partner to write at least five ratio statements about this quilt, which has white, blue, and purple squares.
How many squares of each colour will be there in 12 such quilts?
Match each of the entries in Column I with the appropriate entry in Column II
| Column I | Column II |
| 1. x and y vary inversely to each other | A. `x/y` = Constant |
| 2. Mathematical representation of inverse variation of quantities p and q |
B. y will increase in proportion |
| 3. Mathematical representation of direct variation of quantities m and n |
C. xy = Constant |
| 4. When x = 5, y = 2.5 and when y = 5, x = 10 | D. `p oo 1/q` |
| 5. When x = 10, y = 5 and when x = 20, y = 2.5 | E. y will decrease in proportion |
| 6. x and y vary directly with each other | F. x and y are directly proportional |
| 7. If x and y vary inversely then on decreasing x | G. `m oo n` |
| 8. If x and y vary directly then on decreasing x | H. x and y vary inversely |
| I. `p oo q` | |
| J. `m oo 1/n` |
