Advertisements
Advertisements
प्रश्न
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
Advertisements
उत्तर
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
If a = 6 and b = 15
Then, a × b = 6 × 15 = 90
⇒ k = 90
When a = 2 and b = x, then
ab = k
⇒ 2 × x = 90
⇒ x = `90/2` = 45
When a = y and b = 12.5, then
ab = k
∴ y × 12.5 = 90
⇒ y = `90/12.5` = 7.2
When a = 10 and b = z then
ab = k
⇒ 10 × z = 90
⇒ r = `90/10` = 9
APPEARS IN
संबंधित प्रश्न
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Which of the following quantities vary inversely as other?
The number of x men hired to construct a wall and the time y taken to finish the job.
Which of the following quantities vary inversely as other?
The length x of a journey by bus and price y of the ticket.
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?
If x and y vary inversely as other and x = 30, find y when constant of variation = 900.
16 taps can fill a petrol tank in 18 minutes. The time taken for 9 taps to fill the same tank will be _________ minutes
Both x and y are said to vary ______ with each other if for some positive number k, xy = k.
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
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.
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?
