Question

Ученик за 4 часа.-128 деталей мастер ?,на 9 деталей больше за 1 час мастер -?,246 деталей.

Answer 1

128/4=32 детали ученик за час
32+9=41 деталь мастер за час
246/41=6 за 6 часов мастер сделает 246 деталей

Answer 2

Условие не до конца. 246 деталей- это всего или что?

Answer 3

Calculating the Master's Rate of Production

To calculate the master's rate of production, we can use the information provided in the question and solve for the unknown values.

Let's denote: - M as the master's rate of production in details per hour - T as the time taken by the master in hours - D as the total number of details produced

Given: - The student produces 128 details in 4 hours. - The master produces 9 details more in 1 hour than the student. - The total number of details produced is 246.

We can set up the following equations based on the given information:

1. The student's rate of production: - S = 128 details / 4 hours = 32 details/hour

2. The master's rate of production: - M = S + 9 details/hour 3. The total number of details produced: - D = M * T = 246 details

Solving for the Master's Rate of Production

We can solve for the master's rate of production using the equations above. First, we can find the time taken by the master to produce 246 details.

Using the equation D = M * T, we can solve for T: - T = D / M

Substituting the given values: - T = 246 details / M

Now, we can use the equation M = S + 9 details/hour to express M in terms of S: - M = 32 details/hour + 9 details/hour = 41 details/hour

Substituting M = 41 details/hour into the equation for T: - T = 246 details / 41 details/hour = 6 hours

So, the master takes 6 hours to produce 246 details.

Conclusion

The master's rate of production is 41 details per hour and it takes the master 6 hours to produce 246 details.