At 8 a.m., Peter started from City L and travelled towards City M and his speed remained constant throughout. At 10 a.m., Olivia started her journey from City L towards City M at an average speed of 84 km/h. Olivia overtook Peter at 2 p.m. After overtaking, Olivia carried on her journey at the same average speed and reached at City M at 1:45 p.m.

1. Find Peter'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 Olivia had travelled until Olivia overtook Peter
= 4 x 84
= 336 km

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

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

(b)
From 10 a.m. to 1:45 p.m. = 3 h 45 min

1 h = 60 min
3 h 45 min = 3 ⁴⁵ ₆₀
 h = 3 ³₄ h

Distance between the two cities
= 3 ³₄ x 84
= ¹⁵₄ x 84
= 315 km

Answer(s): (a) 56 km/h; (b) 315 km