A post office and a library are 360 m apart. They are located between Ali's house and Nelson's house as shown below. The post office is exactly half-way in between Ali's house and Nelson's house. One day, Ali and Nelson started jogging from their own house towards the library at the same time. They met each other at the library. Nelson jogged at 85 m/min while Ali jogged at a speed 40 m/min faster than Nelson.

1. Calculate the difference in distance jogged by Ali and Nelson

Let the distance from the post office to either house be $d$ metres.
Distance Ali jogged $= d + 360$
Distance Nelson jogged $= d - 360$
Difference in distance $= (d + 360) - (d - 360) = 720$ m

1. Determine the difference in distance travelled by Ali and Nelson

Let the distance from the post office to either house be $d$.
Distance Ali jogged = $d + 360$
Distance Nelson jogged = $d - 360$
Difference in distance = $(d + 360) - (d - 360) = 720$ m

2. Calculate the time taken for the journey

Difference in speed = $40$ m/min
Time taken = $\frac{\text{Difference in distance}}{\text{Difference in speed}} = \frac{720}{40} = 18$ min

3. Calculate the distance Nelson jogged

Distance Nelson jogged = Speed $\times$ Time = $85 \times 18 = 1530$ m