Question

Помогите решить задачу по математике на английском!!! On a desert island 1000 men can live for 30 days on the food they have. After 16 days 400 more men arrive. If they now eat half as much food as they did before, how long can they survive? Give your answer to the nearest day

Answer 1

46 days

Because 1 day 1 man eats 1/30000

1 day 1000 men eat 1/30 of food

after 16 days 600 men have 16/30 parts of food

if they eat half food, so 600 men eat 600/60000 of food

14/30 ÷ 600/60000= 46,6 days

Answer 2

To solve this problem, let's break it down step by step:

Step 1: Calculate the amount of food the initial 1000 men consume in 16 days.

The total amount of food available to sustain 1000 men for 30 days is assumed to be sufficient for the entire period. So, the amount of food they consume in the first 16 days is:

Food consumed by 1000 men in 16 days = (1,000 men) * (16 days) = 16,000 man-days of food.

Step 2: Add the 400 men who arrived later.

Now, there are a total of 1000 + 400 = 1400 men on the island.

Step 3: Calculate the new food consumption rate for the 1400 men.

The problem states that with the arrival of more men, they eat half as much food as before. This means that the food consumption rate per day per man will be halved.

New food consumption rate per man = Old food consumption rate per man / 2

Step 4: Calculate how long the combined group of 1400 men can survive.

Now, we need to find out for how many days the 1400 men can survive on the remaining food.

Total man-days of food available = Food consumed by 1000 men in 16 days

New total man-days of food available = 16,000 man-days of food

New total man-days of food available / 1400 men = Number of days they can survive

Days they can survive = 16,000 man-days / 1400 men ≈ 11.43 days

Rounding to the nearest day, they can survive for approximately 11 days.

So, the answer is: They can survive for approximately 11 days after the arrival of the additional 400 men.