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.
Step-by-step Solution:
Let \(A_M\) be the distance Akash ran on Monday and \(A_T\) on Tuesday. Given \(A_M = A_T - 4\), so \(A_T = A_M + 4\). Akash's total distance is \(A_M + A_T = 2A_M + 4\).
Let \(S_M\) and \(S_T\) be Sanjay's distances. Given \(S_M = S_T\) and \(S_T = A_M + 5\), so \(S_M = A_M + 5\). Sanjay's total distance is \(S_M + S_T = 2A_M + 10\).
The difference is \((2A_M + 10) - (2A_M + 4) = 6\) km.
Answer: (B) 6 km