Advertisements
Advertisements
Question
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?
Advertisements
Solution
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
RELATED QUESTIONS
Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
Which of the following are in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
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?
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
In which of the following table x and y vary inversely:
| x | 9 | 24 | 15 | 3 |
| y | 8 | 3 | 4 | 25 |
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.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The height of a tree and the number of years.
At a particular time, the length of the shadow of Qutub Minar whose height is 72 m is 80 m. What will be the height of an electric pole, the length of whose shadow at the same time is 1000 cm?
A packet of sweets was distributed among 10 children and each of them received 4 sweets. If it is distributed among 8 children, how many sweets will each child get?
