To solve this problem, we can use the concept of the product rule, which states that the work done is equal to the product of the number of units and the time taken. In this case, the work done is transporting rice to the remote region.
We can set up a proportion to solve for the number of days required:
(Trucks) × (Days) = (Rice quintals)
Using the first scenario:
5 trucks × 3 days = 500 quintals
Now we can solve for the second scenario using the same ratio:
4 trucks × (unknown number of days) = 800 quintals
To find the number of days, we can rearrange the equation and solve for it:
(4 trucks) × (unknown number of days) = 800 quintals
Dividing both sides of the equation by 4 trucks, we get:
(Unknown number of days) = 800 quintals / 4 trucks
(Unknown number of days) = 200 quintals per truck
Therefore, it would take 200 quintals per truck to transport the rice. Since the first scenario took 3 days to transport 500 quintals, we can calculate the number of days required for 800 quintals:
(Number of days) = (800 quintals) / (200 quintals per truck)
(Number of days) = 4 days
Therefore, it would take 4 days for 4 trucks to transport 800 quintals of rice to the same remote region in Nepal.