At 7 a.m., Warren started from City E and travelled towards City F and his speed remained constant throughout. At 10 a.m., Yoko started her journey from City E towards City F at an average speed of 72 km/h. Yoko overtook Warren at 1 p.m. After overtaking, Yoko carried on her journey at the same average speed and reached at City F at 1:35 p.m.

1. Find Warren'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 Yoko had travelled until Yoko overtook Warren
= 3 x 72
= 216 km

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

Warren's average speed
= 216 ÷ 6
= 36 km/h

(b)
From 10 a.m. to 1:35 p.m. = 3 h 35 min

1 h = 60 min
3 h 35 min = 3 ³⁵ ₆₀
 h = 3 ⁷₁₂ h

Distance between the two cities
= 3 ⁷₁₂ x 72
= ⁴³₁₂ x 72
= 258 km

Answer(s): (a) 36 km/h; (b) 258 km