On Monday, Akash ran 4 km less than the distance he ran on Tuesday. Sanjay, who ran the same distance on Monday and Tuesday, ran 5 km more on Tuesday than the distance Akash ran on Monday. Find the difference between the distances covered by Akash and Sanjay over the two days.

Distance Difference Between Akash and Sanjay

Let Akash’s Tuesday distance = \(x\) km.
Then Akash’s Monday distance = \(x - 4\) km.
Sanjay runs same distance on both days = \(y\) km.
Sanjay’s Tuesday distance is 5 km more than Akash’s Monday distance:
\[ y = (x - 4) + 5 = x + 1 \]

Total distance Akash ran in 2 days:
\[ (x - 4) + x = 2x - 4 \] Total distance Sanjay ran in 2 days:
\[ y + y = 2y = 2(x + 1) = 2x + 2 \]

Difference = Sanjay’s total - Akash’s total:
\[ (2x + 2) - (2x - 4) = 6 \text{ km} \]

Answer: The difference in total distances covered is 6 km.