Advertisements
Advertisements
Question
A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
Advertisements
Solution
Let x be the number of new members in the group.
| Number of members | 3 | x |
| Number of days | 30 | 18 |
\[\text{ Since more members can finish the wheat in less number of days, it is a case of inverse variation . } \]
\[\text{ Therefore, we get: } \]
\[3 \times 30 = x \times 18\]
\[ \Rightarrow 90 = 18x\]
\[ \Rightarrow x = \frac{90}{18}\]
\[\text{ Thus, the number of new members in the group } = 5 - 3 = 2\]
APPEARS IN
RELATED QUESTIONS
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
In which of the following table x and y vary inversely:
| x | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
It x and y vary inversely, fill in the following blank:
| x | 9 | ... | 81 | 243 |
| y | 27 | 9 | ... | 1 |
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?
If x and y vary inversely as other and y = 35, find x when constant of variation = 7.
If 40 workers can do a project work in 8 days, then _________ workers can do it in 4 days
A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?
If two quantities p and q vary inversely with each other then ______ of their corresponding values remains constant.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The height of a tree and the number of years.
