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?
A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?
A contractor estimates that J 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?
A batch of bottles were 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 factory requires 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?
A car takes 2 hours to reach a destination by travelling at the speed of 60 km/h. How long will it take when the car travels at the speed of 80 km/h?
Two persons could fit new window in a house in 3 days.
(i) One of the persons fell ill before the work started. How long would the job take now?
(ii) How many persons would be needed to Jit the windows in one day?
(i) Let the time taken by the remaining persons to complete the job be x.
∵ 2 persons - 1 person = 1 person and lesser the number of person, more will be the number of days to complete the job.
∴It is a case of inverse proportion.
We have:
Number of persons |
Number of days |
2 1 |
3 X |
(ii) We have
Number of persons |
Number of days |
2 |
3 |
X |
1 |
A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school houres to be the same?
Take a sheet of paper. Fold it as shown in the figure. Count the number of parts and the area of a part in each case.
Tabulate your observations and discuss with your friends. Is it a case inverse proportion? Why?
Take a few containers of different sizes with circular bases. Fill the same amount of water in each container. Note the diameter of each container and the respective height at which the water level stands. Tabulate your observations. Is it a case of inverse proportion?
Diameter of container (in cm) |
|||
Height of water level (in cm) |