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प्रश्न
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?
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उत्तर
Let the number of days required by 1 man to fit all the windows be x. The following table is obtained.
| Number of persons | 2 | 1 |
| Number of days | 3 | x |
Lesser the number of persons, more will be the number of days required to fit all the windows. Hence, this is a case of inverse proportion.
Therefore,
2 × 3 = 1 × x
x = 6
Hence, the number of days taken by 1 man to fit all the windows is 6.
संबंधित प्रश्न
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°?
Find the constant of variation from the table given below:
| x | 3 | 5 | 7 | 9 |
| y | 12 | 20 | 28 | 36 |
Set up a table and solve the following problems. Use unitary method to verify the answer.
It x and y vary inversely, fill in the following blank:
| x | 12 | 16 | ... | 8 | ... |
| y | ... | 6 | 4 | ... | 0.25 |
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?
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?
18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?
16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _________ minutes
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?
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
Compound interest on a given sum and the sum invested.
The variable x is inversely proportional to y. If x increases by p%, then by what per cent will y decrease?
