35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for th tank to contain 15 lb of salt?

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35. A tank contains 10 lb of salt dissolved in 30 gal of
water. Suppose 2 gal of brine containing 1 lb of dis-
solved salt per gallon runs into the tank every minute
and that the mixture (kept uniform by stirring) runs out
at the same rate.
a. Find the amount of salt in the tank at time t.
b. How long does it take (to the nearest second) for the
tank to contain 15 lb of salt?
Transcribed Image Text:35. A tank contains 10 lb of salt dissolved in 30 gal of water. Suppose 2 gal of brine containing 1 lb of dis- solved salt per gallon runs into the tank every minute and that the mixture (kept uniform by stirring) runs out at the same rate. a. Find the amount of salt in the tank at time t. b. How long does it take (to the nearest second) for the tank to contain 15 lb of salt?
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