Advertisements
Advertisements
Question
A toy company requires 36 machines to produce car toys in 54 days. How many machines would be required to produce the same number of car toys in 81 days?
Advertisements
Solution
Let the required number of machines be x
| Number of machines | 36 | x |
| Number of days | 54 | 81 |
As the number of machines increases number of days required decreases.
∴ They are in inverse proportion,
x1y1 = x2 y2
36 × 54 = x × 81
x = `(36 xx 54)/81`
x = 24
∴ 24 machines would be required
APPEARS IN
RELATED QUESTIONS
Which of the following are in inverse proportion?
Area of cultivated land and the crop harvested
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 person has money to buy 25 cycles worth Rs 500 each. How many cycles he will be able to buy if each cycle is costing Rs 125 more?
The stock of grain in a government warehouse lasts 30 days for 4000 people. How many days will it last for 6000 people?
In a school there is 7 periods a day each of 45 minutes duration. How long each period is if the school has 9 periods a day assuming the number of hours to be the same?
If x varies inversely as y and x = 4 when y = 6, then when x = 3 the value of y is ______.
If d varies directly as t2, then we can write dt2 = k, where k is some constant.
If x varies inversely as y and x = 20 when y = 600, find y when x = 400.
Sobi types 108 words in 6 minutes. How many words would she type in half an hour?
