At 8 a.m., Warren started from City D and travelled towards City E and his speed remained constant throughout. At 10 a.m., Xandra started her journey from City D towards City E at an average speed of 87 km/h. Xandra overtook Warren at 2 p.m. After overtaking, Xandra carried on her journey at the same average speed and reached at City E at 4:40 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 2 p.m. = 4 h

Distance that Xandra had travelled until Xandra overtook Warren
= 4 x 87
= 348 km

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

Warren's average speed
= 348 ÷ 6
= 58 km/h

(b)
From 10 a.m. to 4:40 p.m. = 6 h 40 min

1 h = 60 min
6 h 40 min = 6 ⁴⁰ ₆₀
 h = 6 ²₃ h

Distance between the two cities
= 6 ²₃ x 87
= ²⁰₃ x 87
= 580 km

Answer(s): (a) 58 km/h; (b) 580 km