At 8 a.m., Daniel started from City U and travelled towards City V and his speed remained constant throughout. At 10 a.m., Natalie started her journey from City U towards City V at an average speed of 75 km/h. Natalie overtook Daniel at 2 p.m. After overtaking, Natalie carried on her journey at the same average speed and reached at City V at 2:20 p.m.

1. Find Daniel'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 Natalie had travelled until Natalie overtook Daniel
= 4 x 75
= 300 km

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

Daniel's average speed
= 300 ÷ 6
= 50 km/h

(b)
From 10 a.m. to 2:20 p.m. = 4 h 20 min

1 h = 60 min
4 h 20 min = 4 ²⁰ ₆₀
 h = 4 ¹₃ h

Distance between the two cities
= 4 ¹₃ x 75
= ¹³₃ x 75
= 325 km

Answer(s): (a) 50 km/h; (b) 325 km