City G and City H is 594 km apart. Zane left City G for City H at 8.00 a.m. travelling at an average speed of 66 km/h. Oliver left City G later than Zane and caught up with him at 12.00 p.m. Oliver was travelling at a speed of 99 km/h.

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

(a)
From 8.00 a.m. to 12.00 p.m. = 4 h

Distance that Zane covered when Oliver caught up with Zane
= 4 x 66
= 264 km

Time that Oliver took to travel 264 km
= 264 ÷ 99
= 2²₃ h

1 h = 60 min
²₃ h = ²₃ x 60 = 40 min
2²₃ h = 2 h 40 min

Time that Oliver left City G:
2 h 40 min before 12.00 p.m. = 9.20 a.m.

(b)
Remaining distance that they had to cover to reach City H
= 594 - 264
= 330 km

Duration that Oliver had to travel before reaching City H
= 330 ÷ 99
= 3¹₃ h

Duration that Zane had to travel before reaching City H
= 330 ÷ 66
= 5 h

Duration that Zane took to arrive later than Oliver in City H
= 5 - 3¹₃
= 1²₃ h

Answer(s): (a) 9.20 a.m.; (b) 1²₃ h