Q2 of 16 Page 40

If 15 workers can build a wall in 48 hours, how many workers will be required to do the same work in 30 hours?

The number of workers building a wall and time taken by them is inversely proportional.


Let x be the number of workers and y be the time taken.




(k is constant) (1)


Number of workers given=15


Time took =48 hrs


(Put in 1)




Wall has to be built in 30 hours


So,


(Put in 1)



(Since)



So, 24 workers are needed to build the wall in 30 hours.


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Which of the following statements is of inverse variation?

(1) The number of workers on a job and time taken by them to complete the job.


(2) The number of pipes of the same size to fill a tank and the time taken by them to fill the tank.


(3) Petrol filled in the tank of a vehicle and its cost.


(4) Area of the circle and its radius.


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