Faucets

A large tank is partially filled with a solution. The tank has a faucet that allows the solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.

Correct answer:

V1 =  -61/20 l
c =  -61/2 l

Step-by-step explanation:

t1=1 min Q1=1643=16+43=416 4+3=464+3=467=16.75 l/min Q2=1954=19+54=519 5+4=595+4=599=19.8 l/min  Q=Q1Q2=467599=2033520396=20335396=2061=2061=3.05  V1=t1 Q=1 2061=201 61=2061=2061 l=3201 l=3.05 l
t2=10 min  c=t2 Q=10 2061=2010 61=20610=261 l=30.5 l



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