Question

Two persons both walk at a speed of 4 miles per hour. In an airport, the two walkers pass each other in opposite directions on moving walkways that run at 6 miles per hour. What is the magnitude of the velocity of one walker relative to the other?

Answer 1

Use the relative velocity concept to solve the problem. Velocity is a vector quantity and if both velocities are in opposite direction then the signs of both the velocities are different.

Solution B Turinting walk way A Velouty of with respect to ground CTA) » TAW + Vina Vw Gmiles/hr TAW AW > Ymilhr. ? X 6 miles hour walk way las 4 + 6 YA -> lo mile/hr. Velocity of B with respect to ground CVB ) = Tow + Yw TB » 4 + 6 Ve lo mile/hr From sulative velocity expression » VBA (velocity of B with respect Ve Pat to A IBA lo (-10) [To and VÀ are BA ) IBA » 20 mile / hour ty in opposite direction. Therefore JÁ have eve sign.