Advertisements
Advertisements
प्रश्न
A factory required 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
उत्तर
Let the number of machines required to produce articles in 54 days be x. The following table is obtained:
| Number of machines | 42 | x |
| Number of days | 63 | 54 |
The more the number of machines, the less number of days that it will take to produce the given number of articles. Thus, this is a case of inverse proportion.
Therefore,
42 × 63 = 54 × x
⇒ `63/54 = x/42`
⇒ `x = (42xx63)/54`
⇒ x = 49
Hence, the required number of machines to produce the given number of articles in 54 days is 49.
APPEARS IN
संबंधित प्रश्न
Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?
Find the constant of variation from the table given below:
| x | 3 | 5 | 7 | 9 |
| y | 12 | 20 | 28 | 36 |
Set up a table and solve the following problems. Use unitary method to verify the answer.
It x and y vary inversely, fill in the following blank:
| x | 12 | 16 | ... | 8 | ... |
| y | ... | 6 | 4 | ... | 0.25 |
Three persons can build a small house in 8 days. To build the same house in 6 days, how many persons are required?
Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money?
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The number of people working and the time to complete a given work.
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
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 |
