Question

Помогите плиз срочно нужно!!!!!!Имеется 31 гиря: 16 гирь весом в 1 пуд, 8 гирь по 2 пуда, 4 гири по 4 пуда, две 8-пудовых и одна 16-пудовая. Все гири выглядят одинаково, но для подъёма г ири нужны хотя бы столько человек, сколько пудов она весит. При этом на каждую попытку подъёма гири (удачную или неудачную) тратится одна минута. Бригада из 16 рабочих должна поднять каждую из этих гирь. а) Объясните, как бригаде справиться с заданием за 9 минут. б) Сумеет ли бригада справиться за 9 минут, если один из рабочих — новичок, и его можно привлекать не более чем два раза? только напишите решение по действиям

Answer 1

16 гирь по одному пуду взяли одновременно 16 рабочих-1ая минута
8 гирь по 2 пуда взяли 16 рабочих -2ая минута
4ре гири по 4 пуда взяли 16 рабочих -3 минута
2 по 8 пудов 16 рабочих -4я минута
1гирю 16 пудов взяли 16 рабочих -5ая минута

Итого понадобится 5 минут

Условие б
7*2+1=15 человек 7 гирь по 2 пуда и 1 по 1 пуду -1ая минута
1*2+3*4+1=15 человек 1 гирю по 2 пуда 3 гири по 4 пуда и 1 чел 1 гир 1пуд -2ая минута
1*4+1*8+3*1=15 человек 1 гир 4 пуд 1 гир 8 пуд и 3 гир по 1 пуду -3я мин
1*8+8*1=16 чел 1 гир 8 пуд 8 гирь по 1 пуду -4я минута
1*16=16 человек 1 гир по 16 пуд-5минута
3*1=3человека 3 гири по 1 пуду -6 минут

Естественно они уложатся в 9 минут

Answer 2

Problem Analysis

The problem states that there are 31 weights, with 16 weighing 1 pood, 8 weighing 2 poods, 4 weighing 4 poods, 2 weighing 8 poods, and 1 weighing 16 poods. The goal is for a team of 16 workers to lift each of these weights. Each attempt to lift a weight takes 1 minute, regardless of success or failure. The task is to determine if the team can complete the task in 9 minutes and, if so, how they can do it.

Solution

To solve this problem, we need to find a way for the team to lift all the weights in 9 minutes or less. Let's analyze the options:

a) Explanation for completing the task in 9 minutes: To complete the task in 9 minutes, the team needs to optimize their lifting strategy. Here's a possible solution:

1. Divide the team into two groups: Group A and Group B, each consisting of 8 workers. 2. Assign Group A to lift the 16 pood weight. Since it requires 16 workers to lift a weight equal to its pood value, Group A will successfully lift it in 1 minute. 3. Assign Group B to lift the 8 pood weights. Since each weight requires 8 workers to lift, Group B will successfully lift both weights in 2 minutes. 4. Now, Group A and Group B have completed their tasks, and there are 6 minutes remaining. 5. Assign Group A to lift the 4 pood weights. Since each weight requires 4 workers to lift, Group A will successfully lift all 4 weights in 4 minutes. 6. Finally, assign Group B to lift the remaining weights: 8 weights of 2 poods and 16 weights of 1 pood. Since each weight requires 2 workers to lift, Group B will successfully lift all the remaining weights in 2 minutes.

By following this strategy, the team can complete the task in a total of 9 minutes.

b) Explanation for completing the task in 9 minutes with a novice worker: If one of the workers is a novice and can only be used twice, we need to modify the strategy slightly. Here's a possible solution:

1. Divide the team into two groups: Group A and Group B, each consisting of 8 workers. 2. Assign Group A to lift the 16 pood weight. Since it requires 16 workers to lift a weight equal to its pood value, Group A will successfully lift it in 1 minute. 3. Assign Group B to lift the 8 pood weights. Since each weight requires 8 workers to lift, Group B will successfully lift both weights in 2 minutes. 4. Now, Group A and Group B have completed their tasks, and there are 6 minutes remaining. 5. Assign Group A to lift the 4 pood weights. Since each weight requires 4 workers to lift, Group A will successfully lift all 4 weights in 4 minutes. 6. Assign Group B to lift the remaining weights: 8 weights of 2 poods and 16 weights of 1 pood. Since each weight requires 2 workers to lift, Group B will successfully lift all the remaining weights in 2 minutes. 7. Now, we need to account for the novice worker. Assign the novice worker to lift the 16 pood weight. This will take 1 minute. 8. Finally, assign the novice worker to lift one of the 8 pood weights. This will take an additional minute.

By following this modified strategy, the team can still complete the task in a total of 9 minutes, even with the novice worker.

Please note that these solutions assume that the workers can lift the weights simultaneously and that there are no restrictions on the number of workers assigned to each weight.

I hope this explanation helps! Let me know if you have any further questions.