Question

Talia and Dina are planning to meet at he YMCA, which lies 5km North of the City Hall. At 3pm, Talia heads in a straight line with constant speed toward the YMCA from a point 1km South and 3km West of the City Hall. After 5 minutes she is 2.5km West, 0km South of the City Hall

a) Let the City Hall be the origin of a coordinate system. Find the parametric equations for Talia’s route.

b)Dina starts 3km East and 1km North of the City Hall on a straight line. Given that she walks at a speed of 5km per hour, at which time should she leave so that she and Talia arrive at the same time at the YMCA?

Answer 1

Concept

speed = distance / time

use this formula to calculate the time required for their travel while keeping the units same