City L and City M is 304 km apart. Ben left City L for City M at 10.00 a.m. travelling at an average speed of 76 km/h. Flynn left City L later than Ben and caught up with him at 12.00 p.m. Flynn was travelling at a speed of 114 km/h.

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

(a)
From 10.00 a.m. to 12.00 p.m. = 2 h

Distance that Ben covered when Flynn caught up with Ben
= 2 x 76
= 152 km

Time that Flynn took to travel 152 km
= 152 ÷ 114
= 1¹₃ h

1 h = 60 min
¹₃ h = ¹₃ x 60 = 20 min
1¹₃ h = 1 h 20 min

Time that Flynn left City L:
1 h 20 min before 12.00 p.m. = 10.40 a.m.

(b)
Remaining distance that they had to cover to reach City M
= 304 - 152
= 152 km

Duration that Flynn had to travel before reaching City M
= 152 ÷ 114
= 1¹₃ h

Duration that Ben had to travel before reaching City M
= 152 ÷ 76
= 2 h

Duration that Ben took to arrive later than Flynn in City M
= 2 - 1¹₃
= ²₃ h

Answer(s): (a) 10.40 a.m.; (b) ²₃ h