Question

Первый рабочий за 1 час изготавливает 4 детали, а второй рабочий – за 3 часа 10 деталей. За сколько часов первый рабочий изготовит столькодеталей, сколько изготовят оба рабочих за 6 часов, работая вместе?А) за 11 часов В) за 12 часов С) за 13 часов D) за 14 часов​

Answer 1

Ответ:

А) за 11 часов

Пошаговое объяснение:

Работоспособность первого рабочего — 4 / 1 = 4 детали/ч. Работоспособность второго рабочего — 10 / 3 детали/ч. Когда они работают вместе, их работоспособность равно 4 + 10/3 = 22/3 детали/ч. Тогда за 6 часов они изготовят 22/3 * 6 = 44 детали. Первый рабочий изготовит столько за 44 / 4 = 11 ч

Answer 2

To solve this problem, we can calculate the individual rates of production for each worker and then determine how many parts they can produce together in 6 hours.

Let's start by calculating the rate of production for the first worker. We are given that the first worker can produce 4 parts in 1 hour. Therefore, the rate of production for the first worker is 4 parts per hour.

Next, let's calculate the rate of production for the second worker. We are given that the second worker can produce 10 parts in 3 hours. To find the rate of production per hour, we divide the total number of parts produced (10) by the number of hours (3). Therefore, the rate of production for the second worker is 10 parts / 3 hours = 3.33 parts per hour (rounded to two decimal places).

Now, let's calculate how many parts the first worker can produce in 6 hours. We multiply the rate of production for the first worker (4 parts per hour) by the number of hours (6). Therefore, the first worker can produce 4 parts/hour * 6 hours = 24 parts in 6 hours.

To determine how many parts both workers can produce together in 6 hours, we add their individual rates of production. The total rate of production for both workers is 4 parts per hour + 3.33 parts per hour = 7.33 parts per hour (rounded to two decimal places).

Finally, we multiply the total rate of production for both workers (7.33 parts per hour) by the number of hours (6) to find the total number of parts produced. Therefore, both workers can produce 7.33 parts/hour * 6 hours = 43.98 parts (rounded to two decimal places) in 6 hours.

Comparing the number of parts produced by the first worker alone (24 parts) and both workers together (43.98 parts), we can see that the first worker alone cannot produce as many parts as both workers together in 6 hours.

Therefore, the correct answer is D) за 14 часов.