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प्रश्न
Complite the following table given that x varies directly as y .
| x | 3 | 5 | 7 | 9 |
| y | ... | 20 | 28 | ... |
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उत्तर
\[\text{ Here, x and y vary directly } . \]
\[ \therefore x = ky\]
\[x = 5 \text{ and } y = 20\]
\[i . e . , 5 = k \times 20\]
\[ \Rightarrow k = \frac{5}{20} = \frac{1}{4}\]
\[\text{ For x = 3 and } k = \frac{1}{4}, \text{ we have:} \]
\[3 = \frac{1}{4} \times y\]
\[ \Rightarrow y = 4 \times 3 = 12\]
\[\text{ For } x = 9, k = \frac{1}{4}, \text{ we have: } \]
\[x = ky\]
\[ \Rightarrow 9 = \frac{1}{4} \times y\]
\[ \Rightarrow y = 9 \times 4 = 36\]
संबंधित प्रश्न
Suppose 2 kg of sugar contains 9 × 106 crystals.
How many sugar crystals are there in
- 5 kg of sugar?
- 1.2 kg of sugar?
Which of the following quantities vary directly with each other?
(i) Number of articles (x) and their price (y).
(ii) Weight of articles (x) and their cost (y).
(iii) Distance x and time y, speed remaining the same.
(iv) Wages (y) and number of hours (x) of work.
(v) Speed (x) and time (y) (distance covered remaining the same).
(vi) Area of a land (x) and its cost (y).
A worker is paid Rs 210 for 6 days work. If his total income of the month is Rs 875, for how many days did he work?
A can do a piece of work in 40 days and B in 45 days. They work together for 10 days and then B goes away. In how many days will A finish the remaining work?
Working 8 hours a day, Ashu can copy a book in 18 days. How many hours a day should he work so as to finish the work in 12 days?
If x = 5y, then x and y vary ______ with each other.
l varies directly as m and l is equal to 5, when `m = 2/3`. Find l when `m = 16/3`.
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The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.
| Distance (m) | Time (sec.) | |
| Elevator- A | 435 | 29 |
| Elevator- B | 448 | 28 |
| Elevator- C | 130 | 10 |
| Elevator- D | 85 | 5 |
How much distance will be travelled by elevators B and C separately in 140 sec? Who travelled more and by how much?
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| Distance (km) | 15 | 7.5 | 30 | 37.5 | 45 | 75 |
Which type of properties are indicated by the table? How much distance will be covered by the car in 8 litres of gas?
