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.
It x and y vary inversely, fill in the following blank:
| x | 12 | 16 | ... | 8 | ... |
| y | ... | 6 | 4 | ... | 0.25 |
A work force of 50 men with a contractor can finish a piece of work in 5 months. In how many months the same work can be completed by 125 men?
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days?
Mohanrao took 10 days to finish a book, reading 40 pages every day. How many pages must be read in a day to finish it in 8 days?
It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole?
Six men can complete a work in 12 days. Two days later, 6 more men joined them. How many days will they take to complete the remaining work?
Which of the following vary inversely with each other?
When two quantities are related in such a manner that if one increases and the other decreases, then they always vary inversely.
