One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours. How long will it take the pipe to fill the pool if the drain is left open?

48 hours

Step-by-step explanation:

So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.

So let's just say that x is the value for how much the pool was filled, and y is the time taken.

So which means :

X = -

represents the volume of the tank being filled up in one hour while represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.

So, we solve the equation.

To find X, we make the denominator of the two fractions the same.

X = -

= -

= -

Then, we subtract.

- =

is the volume of the pool that is filled in one hour

Finally, we find the time taken for the pipe to fill the pool.

If one hour fills of the pool, then :

1 =

y = 48 hours.

So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98