The capacity of a petrol tank is 80 litres. If it initially contains 5 litres and a petrol pump fills it at 3 litres per 10 seconds, find: a the amount of fuel in the tank after 2 minutes b how long it will take to fill the tank to 32 litres c how long it will take to fill the tank.

A. 41 litres

B. 83.33 seconds

C. 250 seconds

Step-by-step explanation:

From the given data:

The capacity of a petrol tank = 80 litres

Litres of petrol that was initially in the tank = 5 litres

Petrol pump fills at = 3 litres per 10 seconds

A. To find the amount of fuel in the tank after 2 minutes

Let the amount of fuel in the tank after 2 minutes be x

60 seconds make 1 minute

There are 120 seconds in 2 minutes

If, 3 litres = 10 seconds

   x litres = 120 seconds

x litres = (120 X 3) / 10

x litres = 36 litres

There will be 36 litres pumped after 2 minutes

So the amount of fuel in the tank will be,  the initial litres in the tank + litres pumped after 2 minutes

Which is,  5 litres + 36 litres = 41 litres

B. To find how long it will take to fill the tank to 32 litres,

Implies, an additional 25 litres is required to be added to the initial 5 litres of petrol in the tank

3 litres = 10 seconds

25 litres = x seconds

x seconds = (10 X 25) / 3

x seconds = 83.33 seconds

83.33 seconds is required to fill the tank to 32 litres

C. To find how long it will take to fill the tank.

Since the tank capacity is 80 litres, and it has an initial fuel of 5 litres, an additional 75 litres is required to fill the tank

If, 3 litres = 10 seconds

   To get an additional 75 litres = (75/ 3) X 10 seconds = 250 seconds

Therefore, 250 seconds is required to fill the tank

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,

c

-by-step explanation:

it would be c