City F and City G is 455 km apart. Harry left City F for City G at 10.00 a.m. travelling at an average speed of 65 km/h. Warren left City F later than Harry and caught up with him at 1.00 p.m. Warren was travelling at a speed of 117 km/h.

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

(a)
From 10.00 a.m. to 1.00 p.m. = 3 h

Distance that Harry covered when Warren caught up with Harry
= 3 x 65
= 195 km

Time that Warren took to travel 195 km
= 195 ÷ 117
= 1²₃ h

1 h = 60 min
²₃ h = ²₃ x 60 = 40 min
1²₃ h = 1 h 40 min

Time that Warren left City F:
1 h 40 min before 1.00 p.m. = 11.20 a.m.

(b)
Remaining distance that they had to cover to reach City G
= 455 - 195
= 260 km

Duration that Warren had to travel before reaching City G
= 260 ÷ 117
= 2²₉ h

Duration that Harry had to travel before reaching City G
= 260 ÷ 65
= 4 h

Duration that Harry took to arrive later than Warren in City G
= 4 - 2²₉
= 1⁷₉ h

Answer(s): (a) 11.20 a.m.; (b) 1⁷₉ h