At 7 a.m., Paul started from City L and travelled towards City M and his speed remained constant throughout. At 8 a.m., Yoko started her journey from City L towards City M at an average speed of 84 km/h. Yoko overtook Paul at 1 p.m. After overtaking, Yoko carried on her journey at the same average speed and reached at City M at 3:45 p.m.

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

(a)
From 8 a.m. to 1 p.m. = 5 h

Distance that Yoko had travelled until Yoko overtook Paul
= 5 x 84
= 420 km

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

Paul's average speed
= 420 ÷ 6
= 70 km/h

(b)
From 8 a.m. to 3:45 p.m. = 7 h 45 min

1 h = 60 min
7 h 45 min = 7 ⁴⁵ ₆₀
 h = 7 ³₄ h

Distance between the two cities
= 7 ³₄ x 84
= ³¹₄ x 84
= 651 km

Answer(s): (a) 70 km/h; (b) 651 km