Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
Let the required number of machines be x
| Number of machines | 36 | x |
| Number of days | 54 | 81 |
As the number of machines increases number of days required decreases.
∴ They are in inverse proportion,
x1y1 = x2 y2
36 × 54 = x × 81
x = `(36 xx 54)/81`
x = 24
∴ 24 machines would be required
APPEARS IN
संबंधित प्रश्न
Which of the following are in inverse proportion?
Area of cultivated land and the crop harvested
In which of the following table x and y vary inversely:
| x | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
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?
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?
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
If x and y vary inversely as other and x = 30, find y when constant of variation = 900.
In case of inverse proportion, `a_2/- = b_2/-`
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?
