Final answer:
To find the number of days the remaining food will last for the remaining men, calculate the total food consumed by the men who left and subtract it from the total food available initially. Then, divide the remaining food by the number of remaining men to find the number of days it will last.
Step-by-step explanation:
To find the number of days that the remaining food will last for the remaining men, we need to calculate the total food consumed by the men who left and subtract it from the total food available initially.
Since there is sufficient food for 300 men for 32 days, the total food available initially is given by:
Total food = 300 men * 32 days = 9600 man-days.
After 29 days, 210 men leave. So the total food consumed by these 210 men in 29 days is:
Total food consumed = 210 men * 29 days = 6090 man-days.
The remaining food will last for the remaining men for:
Remaining days = (9600 man-days - 6090 man-days) / (remaining men)