Question

Gas is being pumped into a tank the total amount of gas G after amount of time T is given by the equation G= 50+20t if the total amount of gas that will fit into tank is 850 gallons how much time will take to fill the tank

Answer 1

Answer:

T = 40 (minutes?)

Step-by-step explanation:

Given the equation G = 50 + 20T, where G = the total amount of gas and T = the amount of Time, we know that there is already 50 gallons of gas in the tank and that the rate at which it is pumped is 20 gallons per minute (I am assuming, though it is not stated in the problem).  Given that the tank holds 850 gallons, we can plug in the values into the equation and solve for the missing variable, T:

850 = 50 + 2T

Subtract 50 from both sides:  850 - 50 = 50 + 2T - 50 or 800 = 2T

Divide 2 from both sides: 800/2 = 2T/2

Solve for T:  40 = T

Answer 2

40 minutes needed to fill the tank with gas.

How to find the required time ?

Gas is pumped into a tank.

The total amount of gas is G after time T.

The equation formed with amount of gas & time is G = 50+20T

The total amount of gas which will fit into the tank = 850 gallons

Then the equation becomes,

G= 50+20T

⇒ 850 = 50+20T

⇒ 20T = 850-50

⇒ 20T = 800

⇒ T = 800/20

⇒ T = 40

So, 40 minutes needed to fill the tank.

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