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 | 6 | 8 | q | 25 |
| b | 18 | p | 39 | r |
Advertisements
Solution
If a and b vary inversely to other.
i.e. ab = k ...(Constant)
For table,
| a | 6 | 8 | q | 25 |
| b | 18 | p | 39 | r |
If a = 6 and b = 18
Then, a × b = 6 × 18 = 108
⇒ k = 108
When a = 8 and b = p, then
ab = k
⇒ 8 × p = 108
⇒ p = `27/2`
When a = q and b = 39, then
ab = k
∴ q × 39 = 108
⇒ q = `108/39 = 36/13`
When a = 25 and b = r, then
ab = k
⇒ 25 × r = 108
⇒ r = `108/25`
APPEARS IN
RELATED QUESTIONS
Which of the following are in inverse proportion?
The population of a country and the area of land per person.
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
Which of the following quantities vary inversely as other?
The length x of a journey by bus and price y of the ticket.
A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?
6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same type are used?
A farmer has enough food for 144 ducks for 28 days. If he sells 32 ducks how long will the food last?
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 xy = 10, then x and y vary ______ with each other.
If on increasing a, b decreases in such a manner that ______ remains ______ and positive, then a and b are said to vary inversely with each other.
If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10.
