Final answer:
Mona can cover a total distance of 4 km in 2 hours by covering 3/4 of the distance at 4 km/h and the rest at 5 km/h.
Step-by-step explanation:
To find the total distance, we can use the formula:
Distance = Speed * Time.
Given that Mona covers 3/4 of the distance at 4 km/h, we can calculate the distance covered at that speed by multiplying 3/4 by the total distance.
Let D be the total distance.
Distance covered at 4 km/h = 3/4 * D.
The remaining distance is covered at 5 km/h, so the distance covered at 5 km/h is:
Distance covered at 5 km/h = D - 3/4 * D.
We know that Mona can cover the whole distance in 2 hours, so we can set up an equation using the formula:
Total distance = Distance covered at 4 km/h + Distance covered at 5 km/h.
Equating the equation, we get:
D = (3/4 * D) / 4 + (D - 3/4 * D) / 5.
Simplifying the equation, we get:
20D = 15D + 16D - 12D.
4D = 3D.
D = 4 km/h.
Therefore, the total distance is 4 km.