Advertisements
Advertisements
Question
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?
Advertisements
Solution
Let the required number of days be x.
| Number of days | 30 | x |
| Number of students | 40 | Doubled = 2 × 40 = 80 |
As the number of students increases the food last for less number of days
∴ They are in inverse proportion.
x1y1 = x2y2
30 × 40 = x × 80
x = `(30 xx 40)/80`
x = 15
The food stock lasts for 15 days
APPEARS IN
RELATED QUESTIONS
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?
In which of the following table x and y vary inversely:
| x | 4 | 3 | 6 | 1 |
| y | 9 | 12 | 8 | 36 |
16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _________ minutes
A toy company requires 36 machines to produce car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days?
12 cows can graze a field for 10 days. 20 cows can graze the same field for _______ days
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
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.
If x varies inversely as y and y = 60 when x = 1.5. Find x. when y = 4.5.
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
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?
