City W and City X is 480 km apart. Oliver left City W for City X at 10.00 a.m. travelling at an average speed of 60 km/h. Cole left City W later than Oliver and caught up with him at 2.00 p.m. Cole was travelling at a speed of 96 km/h.

1. At what time did Cole leave City W?
2. How much later did Oliver arrive in City X than Cole? Express your answer in h as a fraction or mixed number.

(a)
From 10.00 a.m. to 2.00 p.m. = 4 h

Distance that Oliver covered when Cole caught up with Oliver
= 4 x 60
= 240 km

Time that Cole took to travel 240 km
= 240 ÷ 96
= 2¹₂ h

1 h = 60 min
¹₂ h = ¹₂ x 60 = 30 min
2¹₂ h = 2 h 30 min

Time that Cole left City W:
2 h 30 min before 2.00 p.m. = 11.30 a.m.

(b)
Remaining distance that they had to cover to reach City X
= 480 - 240
= 240 km

Duration that Cole had to travel before reaching City X
= 240 ÷ 96
= 2¹₂ h

Duration that Oliver had to travel before reaching City X
= 240 ÷ 60
= 4 h

Duration that Oliver took to arrive later than Cole in City X
= 4 - 2¹₂
= 1¹₂ h

Answer(s): (a) 11.30 a.m.; (b) 1¹₂ h