At 7 a.m., Elijah started from City G and travelled towards City H and his speed remained constant throughout. At 9 a.m., Wendy started her journey from City G towards City H at an average speed of 78 km/h. Wendy overtook Elijah at 1 p.m. After overtaking, Wendy carried on her journey at the same average speed and reached at City H at 1:30 p.m.

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

(a)
From 9 a.m. to 1 p.m. = 4 h

Distance that Wendy had travelled until Wendy overtook Elijah
= 4 x 78
= 312 km

From 7 a.m. to 1 p.m. = 6 h

Elijah's average speed
= 312 ÷ 6
= 52 km/h

(b)
From 9 a.m. to 1:30 p.m. = 4 h 30 min

1 h = 60 min
4 h 30 min = 4 ³⁰ ₆₀
 h = 4 ¹₂ h

Distance between the two cities
= 4 ¹₂ x 78
= ⁹₂ x 78
= 351 km

Answer(s): (a) 52 km/h; (b) 351 km