Q19 of 22 Page 258

A cylindrical container has a height of 24 inches. Currently the container is filled with water to a height of 18 inches. A leaky faucet drips into the container causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t the number of hours it would take to fill the container. 18 + ?t = 24 What number should be the coefficient of t?


Amount of water left in the container to be filled = 24 – 18 = 6 inches


Now according to question faucet drips at the rate of 2 inches per hour.


So Faucet takes 1 hour for 2 inches


For 6 inches it will take = 3 hours


Therefore, time to fill the container = 3 hours.


Now it is given that this time follows an equation given by,


18 + ?t = 24


?t = 6


We know that t = 3, putting in above equation we get,


? 3 = 6


? = 2


So in place of question mark, coefficient of t will be 2.


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