Advertisements
Advertisements
Question
Five workers take 12 days to weed a field. How many days would 6 workers take? How many would 15 take?
Solution
Let us suppose 6 workers will take x days to weed a field.
As the number of workers increases, the number of days decreases.
So, the number of workers and number of days are in inverse proportion.
∴ 5 × 12 = 6 × x
⇒ x = `60/6`
⇒ x = 10 days
Let us suppose 15 workers will take y days to weed a field.
∴ 5 × 12 = 15 × y
⇒ y = `60/15`
⇒ y = 4 days
Hence, 6 workers will take 10 days, while 15 workers will take 4 days to weed a field.
RELATED QUESTIONS
In which of the following table x and y vary inversely:
| x | 5 | 20 | 10 | 4 |
| y | 20 | 5 | 10 | 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?
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were transferred to another fort and thus the food lasted now for 32 more days. How many soldiers left the fort?
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?
A group of 3 friends staying together, consume 54 kg of wheat every month. Some more friends join this group and they find that the same amount of wheat lasts for 18 days. How many new members are there in this group now?
Raghu has enough money to buy 75 machines worth Rs 200 each. How many machines can he buy if he gets a discount of Rs 50 on each machine?
If x and y vary inversely as other and x = 5 when y = 15, find x when y = 12 .
A printer, prints a book of 300 pages at the rate of 30 pages per minute. Then, how long will it take to print the same book if the speed of the printer is 25 pages per minute?
When two quantities x and y are in ______ proportion or vary ______ they are written as `x oo 1/y`.
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?
