Advertisements
Advertisements
Question
If a and b vary inversely to other, then find the values of p, q, r ; x, y, z and l, m, n.
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
Advertisements
Solution
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | l | 9 | n | 6 |
| b | 5 | m | 25 | 10 |
If a = 6 and b = 1
Then, a × b = 6 × 10 = 60
⇒ k = 60
When a = l and b = 5, then
ab = k
⇒ l × 5 = 60
⇒ p = `60/5` = 12
When a = 9 and b = m, then
ab = k
∴ 9 × m = 60
⇒ m = `60/9 = 20/3`
When a = n and b = 25, then
ab = k
⇒ n × 25 = 60
⇒ r = `60/25 = 12/5`
APPEARS IN
RELATED QUESTIONS
Which of the following are in inverse proportion?
The time taken for a journey and the distance travelled in a uniform speed.
Which of the following are in inverse proportion?
The population of a country and the area of land per person.
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?
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
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?
If 40 workers can do a project work in 8 days, then _________ workers can do it in 4 days
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?
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?
If x and y are in inverse proportion, then (x + 1) and (y + 1) are also in inverse proportion.
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
