At 7 a.m., Zeph started from City V and travelled towards City W and his speed remained constant throughout. At 10 a.m., Anna started her journey from City V towards City W at an average speed of 68 km/h. Anna overtook Zeph at 1 p.m. After overtaking, Anna carried on her journey at the same average speed and reached at City W at 3:45 p.m.

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

(a)
From 10 a.m. to 1 p.m. = 3 h

Distance that Anna had travelled until Anna overtook Zeph
= 3 x 68
= 204 km

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

Zeph's average speed
= 204 ÷ 6
= 34 km/h

(b)
From 10 a.m. to 3:45 p.m. = 5 h 45 min

1 h = 60 min
5 h 45 min = 5 ⁴⁵ ₆₀
 h = 5 ³₄ h

Distance between the two cities
= 5 ³₄ x 68
= ²³₄ x 68
= 391 km

Answer(s): (a) 34 km/h; (b) 391 km