Advertisements
Advertisements
Question
If x and y vary inversely as other and x = 30, find y when constant of variation = 900.
Solution
\[ \text{ Given: } \]
\[x = 30 \text{ and } k = 900\]
\[ \therefore xy = k\]
\[ \Rightarrow 30y = 900\]
\[ \Rightarrow y = \frac{900}{30}\]
\[ = 30\]
\[ \therefore y = 30\]
APPEARS IN
RELATED QUESTIONS
Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
| Angle between a pair of consecutive spokes |
90° | 60° | ... | ... | ... |
- Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
- Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
- How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
It x and y vary inversely, fill in the following blank:
| x | 16 | 32 | 8 | 128 |
| y | 4 | ... | ... | 0.25 |
A work-force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?
6 pumps are required to fill a water sump in 1 hr 30 minutes. What will be the time taken to fill the sump if one pump is switched off?
It takes 120 minutes to weed a garden with 6 gardeners. If the same work is to be done in 30 minutes, how many more gardeners are needed?
Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
