Answer :
Final answer:
To solve the enquiries about the petrol tank, mathematical calculations indicate: the tank will have 41 litres after 2 minutes, it will take 90 seconds to reach 32 litres, and 250 seconds to fill the tank completely.
Explanation:
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, we can solve the following:
Amount of fuel in the tank after 2 minutes: Since 2 minutes is 120 seconds, and the pump fills 3 litres every 10 seconds, we can calculate the number of 10-second intervals in 120 seconds (120 / 10 = 12). So, in 2 minutes, the pump fills 12 × 3 litres = 36 litres. Adding the initial 5 litres, the tank will have 5 + 36 = 41 litres.
Time to fill the tank to 32 litres: Starting with 5 litres and aiming for 32 litres means we need to add 27 litres (32 - 5 = 27). Since the pump fills 3 litres every 10 seconds, it will take (27 / 3) × 10 seconds = 90 seconds to reach 32 litres.
Time to fill the tank completely: To fill from 5 litres to 80 litres, 75 litres need to be added (80 - 5 = 75). At 3 litres per 10 seconds, it would take (75 / 3) × 10 seconds = 250 seconds to completely fill the tank.
Answer:
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
