Advertisements
Advertisements
Question
A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?
Advertisements
Solution
Let the required number of days be x.
| Number of days | 28 | x |
| Number of ducks | 144 | 144 − 32 = 112 |
As the number of ducks decreases the food will last for more days.
∴ They are in inverse proportion.
x1y1 = x2y2
28 × 144 = x × 112
x = `(28 xx 144)/112`
x = 36
The food lasts for 36 days
APPEARS IN
RELATED QUESTIONS
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?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
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 men can finish a stock of food in 35 days. How many more men should join them so that the same stock may last for 25 days?
If x and y vary inversely as other and x = 30, find y when constant of variation = 900.
Forty students stay in a hostel. They had food stock for 30 days. If the students are doubled then for how many days the stock will last?
12 cows can graze a field for 10 days. 20 cows can graze the same field for _______ days
4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _________ days
10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
