At 7 a.m., Will started from City W and travelled towards City X and his speed remained constant throughout. At 10 a.m., Erika started her journey from City W towards City X at an average speed of 76 km/h. Erika overtook Will at 1 p.m. After overtaking, Erika carried on her journey at the same average speed and reached at City X at 1:30 p.m.

1. Find Will'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 Erika had travelled until Erika overtook Will
= 3 x 76
= 228 km

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

Will's average speed
= 228 ÷ 6
= 38 km/h

(b)
From 10 a.m. to 1:30 p.m. = 3 h 30 min

1 h = 60 min
3 h 30 min = 3 ³⁰ ₆₀
 h = 3 ¹₂ h

Distance between the two cities
= 3 ¹₂ x 76
= ⁷₂ x 76
= 266 km

Answer(s): (a) 38 km/h; (b) 266 km