City F and City G is 260 km apart. Liam left City F for City G at 9.00 a.m. travelling at an average speed of 65 km/h. Fabian left City F later than Liam and caught up with him at 11.00 a.m. Fabian was travelling at a speed of 104 km/h.

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

(a)
From 9.00 a.m. to 11.00 a.m. = 2 h

Distance that Liam covered when Fabian caught up with Liam
= 2 x 65
= 130 km

Time that Fabian took to travel 130 km
= 130 ÷ 104
= 1¹₄ h

1 h = 60 min
¹₄ h = ¹₄ x 60 = 15 min
1¹₄ h = 1 h 15 min

Time that Fabian left City F:
1 h 15 min before 11.00 a.m. = 9.45 a.m.

(b)
Remaining distance that they had to cover to reach City G
= 260 - 130
= 130 km

Duration that Fabian had to travel before reaching City G
= 130 ÷ 104
= 1¹₄ h

Duration that Liam had to travel before reaching City G
= 130 ÷ 65
= 2 h

Duration that Liam took to arrive later than Fabian in City G
= 2 - 1¹₄
= ³₄ h

Answer(s): (a) 9.45 a.m.; (b) ³₄ h