Two men A and 8 start with velocities v at the same time from the junction of two roads inclined at 45° to each other.

Two men A and 8 start with velocities v at the same time from the junction of two roads inclined at 45° to each other. If they travel by different roads find the me at which they are being separated.

Let R and S be the positions of men A and B at any time t. Since velocities are same  .