Advertisements
Advertisements
Question
A contractor estimates that 3 persons could rewire Jasminder’s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?
Advertisements
Solution
Let the number of days required by 4 persons to complete the job be x.
The following table is obtained.
| Number of days | 4 | x |
| Number of persons | 3 | 4 |
If the number of persons is more, then it will take less time to complete the job.
Hence, the number of days and the number of persons required to complete the job are inversely proportional to each other.
Therefore,
4 × 3 = x × 4
`x = (4 xx3)/4`
x = 3
Therefore, 4 persons will take 3 days to complete the job.
APPEARS IN
RELATED QUESTIONS
Which of the following are in inverse proportion?
The time taken for a journey and the distance travelled in a uniform speed.
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.
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 25 |
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?
12 cows can graze a field for 10 days. 20 cows can graze the same field for _______ days
Which quantities in the previous question vary inversely with each other?
Which of the following vary inversely with each other?
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 | 2 | y | 6 | 10 |
| b | x | 12.5 | 15 | z |
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?
