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
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
A work-force of 420 men with a contractor can finish a certain piece of work in 9 months. How many extra men must he employ to complete the job in 7 months?
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?
A car can finish a certain journey in 10 hours at the speed of 48 km/hr. By how much should its speed be increased so that it may take only 8 hours to cover the same distance?
It takes 120 minutes to weed a garden with 6 gardeners. If the same work is to be done in 30 minutes, how many more gardeners are needed?
Which of the following vary inversely with each other?
If d varies directly as t2, then we can write dt2 = k, where k is some constant.
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
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.
If a deposit of Rs 2,000 earns an interest of Rs 500 in 3 years, how much interest would a deposit of Rs 36,000 earn in 3 years with the same rate of simple interest?
