At 8 a.m., Tommy started from City F and travelled towards City G and his speed remained constant throughout. At 10 a.m., Sarah started her journey from City F towards City G at an average speed of 84 km/h. Sarah overtook Tommy at 2 p.m. After overtaking, Sarah carried on her journey at the same average speed and reached at City G at 2:20 p.m.

1. Find Tommy's average speed in km/h.
2. What is the distance between the two cities?

(a)
From 10 a.m. to 2 p.m. = 4 h

Distance that Sarah had travelled until Sarah overtook Tommy
= 4 x 84
= 336 km

From 8 a.m. to 2 p.m. = 6 h

Tommy's average speed
= 336 ÷ 6
= 56 km/h

(b)
From 10 a.m. to 2:20 p.m. = 4 h 20 min

1 h = 60 min
4 h 20 min = 4 ²⁰ ₆₀
 h = 4 ¹₃ h

Distance between the two cities
= 4 ¹₃ x 84
= ¹³₃ x 84
= 364 km

Answer(s): (a) 56 km/h; (b) 364 km