Question

Полный бак бензина расходуется первым двигателем за 8 часов а вторым двигателем за 6 часов.какя часть бензина останется в баке поле работы первого двигателя в течение 3 часов и второго двигателя в течение 2 часов?

Answer 1

1) 3:8=3/8 части бензина израсходует 1-ый двигатель за 3 часа

2) 1-3/8=5/8 частей бензина останется после работы 1-го двигателя

3) 2:6=2/6=1/3 часть бензина израсходует 2-ой двигатель за 2 часа

4) 1-1/3=2/3 части бензина останется после работы 2-го двигателя

Ответ: после работы первого двигателя в течение 3 часов в баке останется 5/8 частей бензина; после работы второго двигателя в течение 2 часов в баке останется 2/3 части бензина.

Answer 2

Calculation of Remaining Fuel in the Tank

To calculate the remaining fuel in the tank after the first engine runs for 3 hours and the second engine runs for 2 hours, we need to consider the rates at which each engine consumes fuel.

Let's assume that the tank is initially full. The first engine consumes the fuel at a rate that depletes the tank in 8 hours, while the second engine consumes the fuel at a rate that depletes the tank in 6 hours.

To find the remaining fuel in the tank, we can calculate the proportion of fuel consumed by each engine during their respective running times and subtract that from the initial full tank.

Calculation for the First Engine:

The first engine consumes the fuel at a rate that depletes the tank in 8 hours. Since it runs for 3 hours, we can calculate the proportion of fuel consumed by the first engine as follows:

Proportion of fuel consumed by the first engine = (Running time of the first engine) / (Time to deplete the tank for the first engine)

Proportion of fuel consumed by the first engine = 3 / 8

Calculation for the Second Engine:

The second engine consumes the fuel at a rate that depletes the tank in 6 hours. Since it runs for 2 hours, we can calculate the proportion of fuel consumed by the second engine as follows:

Proportion of fuel consumed by the second engine = (Running time of the second engine) / (Time to deplete the tank for the second engine)

Proportion of fuel consumed by the second engine = 2 / 6

Calculation of Remaining Fuel:

To find the remaining fuel in the tank, we subtract the proportions of fuel consumed by each engine from the initial full tank:

Remaining fuel in the tank = 1 - (Proportion of fuel consumed by the first engine + Proportion of fuel consumed by the second engine)

Remaining fuel in the tank = 1 - (3 / 8 + 2 / 6)

Now, let's calculate the remaining fuel using the above formula.

Calculation:

Remaining fuel in the tank = 1 - (3 / 8 + 2 / 6)

Remaining fuel in the tank ≈ 0.4583

Therefore, approximately 45.83% of the fuel will remain in the tank after the first engine runs for 3 hours and the second engine runs for 2 hours.

Please note that the above calculations are based on the assumption that the fuel consumption rates remain constant throughout the running time of each engine.