invers proportion
5 exampal
Answers
Example:
Four pipes can fill a tank in 70 minutes. How long will it take to fill the tank with 7 pipes?
Solution:
No. of PipesIncrease↓47Time Taken70x↓Decrease
By the principle of inverse proportion, we have
4 x 70 = 7 x x
x=4 x 707 = 40 minutes
Example:
Thirty-five workers can build a house in 16 days. How many days will it take 28 workers working at the same rate to build the same house?
Solution:
No. of WorkersDecrease↓3528No. of Days16x↓Increase
By the principle of inverse proportion, we have
28 x x = 35 x 16
x=35 x 1628 = 20 days
Example:
It takes 4 men 6 hours to repair a road. How long will it take 8 men to do the job if they work at the same rate?
Solution:
The number of men is inversely proportional to the time taken to do the job.
Let t be the time taken for the 8 men to finish the job.
4 × 6 = 8 × t
24 = 8t
t = 3 hours