Advertisements
Advertisements
Question
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
Solution
Let the food last for x days. According to question,
| Number of days | 6 | x |
| Number of animals | 20 | 30 |
Since the given problem is in inverse proportion.
∴ 6 × 20 = x × 30
⇒ `(6xx20)/30` = x
⇒ 4 = x
Therefore, the required number of days is 4.
APPEARS IN
RELATED QUESTIONS
In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
Two persons could fit new windows in house in 3 days.
One of the persons fell ill before the work started. How long would the job take now?
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 x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
If a tree 24 m high casts a shadow of 15 m, then the height of a pole that casts a shadow of 6 m under similar conditions is 9.6 m.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Increase in cost and number of shirts that can be purchased if the budget remains the same.
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
If x varies inversely as y and y = 60 when x = 1.5. Find x. when y = 4.5.
The variable x is inversely proportional to y. If x increases by p%, then by what percent will y decrease?
