# maths

posted by .

3.An 1145 L tank contains 295 L of water and is being filled with brine from a full 1280 L tank at a rate of 1.55 U.S. gallons every 6 seconds. Will the smaller tank ever contain three times the amount of liquid as the larger tank? If so, when? If not, explain why.

• maths -

After t seconds, we want

295+1.55*t/6 = 3(1280 - 1.55*t/6)
t = 3430.6

check:
after 3430.6 seconds, 886.2 gallons have drained

295+886.2 = 1181.2
1280-886.2 = 393.8

If the smaller tank were big enough to hold enough, after 3430.6 seconds it would hold 3 times the fluid of the larger tank.

However, it's too small, so we need to check to see when the larger tank has drained to 1145/3 gallons.

That occurs after 3477.4 seconds. It takes longer, because the small tank overflows, and the larger tank has to drain longer.

If the smaller tank is sealed, then it will never hold 3 times as much as the larger tank, because flow will stop too soon.

## Similar Questions

1. ### math

Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. …
2. ### math

john has a 25 gallon fish tank. John filled his fish tank today with 24 gallons of water. the water evaporates at a rate of 1.5 gallons per week week. John adds 2 gallons to the tank every other week. At which of the following times …

John has a 25-gallon fish tank. John filled his tank today with 23-gallons of water. The water evaporates at a rate of 1.5 gallons per week. John adds 2 gallons to the tank every other week. At what following time will the tank contain …
4. ### maths

1)a linear function is represented by f(x)=2x+7 which of the following functions would be parallel to that of the function above a)f(x)=2x-7 b)f(x)=x+7 c)f(x)=x-7 d)f(x)=-1/2x+7 e)f(x)=-1/2x-7 I choose b 2)water is pumped into an empty …
5. ### Math

Please HELP Tank A contains four times as much as Tank B. Tank C contains 32 L more than Tank A. The three Tanks contain 482 L of water in all. How many liters of water does Tank A contain?
6. ### chemical calculations

Brine from a first tank runs into a second tank at 2 gallons per minute and brine from the second tank runs into the first at 1 gallon per minute.Initially,there are 10 gallons of brine containing 20 lb of salt in the first tank and …
7. ### maths

A tank is half filled and contains 15litres.what fraction of the tank is full if it can contain 18litres?
8. ### linear

Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
9. ### linear algebra

Suppose that we have a system consisting of two interconnected tanks, each containing a brine solution. Tank A contains x(t) pounds of salt in 200 gallons of brine, and tank B contains y(t) pounds of salt in 300 gallons of brine. The …
10. ### calculus

500-gallon tank initially contains 200 gallons of brine containing 100 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows …

More Similar Questions