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.
🎥 Video solution / Text Solution of this question is given below:
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:
\[
y + y = 2y = 2(x + 1) = 2x + 2
\]