Final answer:
If five men can build a hut in 6 days, then 10 men, working at the same rate, can build the same hut in 3 days by dividing the total work (30 man-days) by the number of men (10).
Step-by-step explanation:
To determine in how many days can 10 men build the same hut if five men can build a hut in 6 days, we can apply the concept of work done which is related to the number of workers and the time taken.
Firstly, we establish the total amount of work done by 5 men in 6 days. This can be represented as 5 men × 6 days = 30 man-days.
Now, if we want to find out how long it would take for 10 men to complete the same amount of work, we divide the total work by the number of men. Hence, 30 man-days ÷ 10 men = 3 days. Therefore, 10 men can build the same hut in 3 days.