Question

Один грузовик может перевести с поля 8400 тонн зерна за 60 часов, а другой - тот же груз за 84 часа. Сколько на это требуется времени при совместной работе обоих грузовиков?

Answer 1

8400 / 60 = 140 т/ч производительность одного
8400/84=100 т/ч производительность вторго
140+100 = 240 т/ч совместная производительность
8400/240  = 35 часп

Answer 2

Calculation of Time Required for Joint Work of Two Trucks

To calculate the time required for the joint work of two trucks, we need to consider the individual rates at which each truck can transport the grain.

Let's assume that the first truck can transport 8,400 tons of grain in 60 hours, and the second truck can transport the same amount of grain in 84 hours.

To find the combined rate at which both trucks can transport the grain, we can use the formula:

Combined Rate = (Total Amount of Grain) / (Total Time)

In this case, the total amount of grain is 8,400 tons, and the total time is the time it takes for both trucks to complete their tasks together.

Let's calculate the combined rate:

Combined Rate = 8,400 tons / (60 hours + 84 hours)

Simplifying the equation:

Combined Rate = 8,400 tons / 144 hours

The combined rate gives us the rate at which both trucks can transport the grain together. To find the time required for them to complete the task, we can use the formula:

Time = (Total Amount of Grain) / (Combined Rate)

Substituting the values:

Time = 8,400 tons / (8,400 tons / 144 hours)

Simplifying the equation:

Time = 144 hours

Therefore, when both trucks work together, it will take them 144 hours to transport the total amount of grain.

Please note that the calculations provided are based on the information given and assume that the trucks maintain a constant rate of work throughout the task.