City G and City H is 378 km apart. Flynn left City G for City H at 9.00 a.m. travelling at an average speed of 63 km/h. Julian left City G later than Flynn and caught up with him at 1.00 p.m. Julian was travelling at a speed of 108 km/h.

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

(a)
From 9.00 a.m. to 1.00 p.m. = 4 h

Distance that Flynn covered when Julian caught up with Flynn
= 4 x 63
= 252 km

Time that Julian took to travel 252 km
= 252 ÷ 108
= 2¹₃ h

1 h = 60 min
¹₃ h = ¹₃ x 60 = 20 min
2¹₃ h = 2 h 20 min

Time that Julian left City G:
2 h 20 min before 1.00 p.m. = 10.40 a.m.

(b)
Remaining distance that they had to cover to reach City H
= 378 - 252
= 126 km

Duration that Julian had to travel before reaching City H
= 126 ÷ 108
= 1¹₆ h

Duration that Flynn had to travel before reaching City H
= 126 ÷ 63
= 2 h

Duration that Flynn took to arrive later than Julian in City H
= 2 - 1¹₆
= ⁵₆ h

Answer(s): (a) 10.40 a.m.; (b) ⁵₆ h