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?
Advertisements
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
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 | 4 | 3 | 12 | 1 |
| y | 6 | 8 | 2 | 24 |
Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?
18 men can reap a field in 35 days. For reaping the same field in 15 days, how many men are required?
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?
4 typists are employed to complete a work in 12 days. If two more typists are added, they will finish the same work in _________ days
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.
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?
