City W and City X is 396 km apart. Liam left City W for City X at 8.00 a.m. travelling at an average speed of 66 km/h. Zane left City W later than Liam and caught up with him at 10.00 a.m. Zane was travelling at a speed of 72 km/h.

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

(a)
From 8.00 a.m. to 10.00 a.m. = 2 h

Distance that Liam covered when Zane caught up with Liam
= 2 x 66
= 132 km

Time that Zane took to travel 132 km
= 132 ÷ 72
= 1⁵₆ h

1 h = 60 min
⁵₆ h = ⁵₆ x 60 = 50 min
1⁵₆ h = 1 h 50 min

Time that Zane left City W:
1 h 50 min before 10.00 a.m. = 8.10 a.m.

(b)
Remaining distance that they had to cover to reach City X
= 396 - 132
= 264 km

Duration that Zane had to travel before reaching City X
= 264 ÷ 72
= 3²₃ h

Duration that Liam had to travel before reaching City X
= 264 ÷ 66
= 4 h

Duration that Liam took to arrive later than Zane in City X
= 4 - 3²₃
= ¹₃ h

Answer(s): (a) 8.10 a.m.; (b) ¹₃ h