City E and City F is 420 km apart. Albert left City E for City F at 7.00 a.m. travelling at an average speed of 70 km/h. Ian left City E later than Albert and caught up with him at 11.00 a.m. Ian was travelling at a speed of 112 km/h.

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

(a)
From 7.00 a.m. to 11.00 a.m. = 4 h

Distance that Albert covered when Ian caught up with Albert
= 4 x 70
= 280 km

Time that Ian took to travel 280 km
= 280 ÷ 112
= 2¹₂ h

1 h = 60 min
¹₂ h = ¹₂ x 60 = 30 min
2¹₂ h = 2 h 30 min

Time that Ian left City E:
2 h 30 min before 11.00 a.m. = 8.30 a.m.

(b)
Remaining distance that they had to cover to reach City F
= 420 - 280
= 140 km

Duration that Ian had to travel before reaching City F
= 140 ÷ 112
= 1¹₄ h

Duration that Albert had to travel before reaching City F
= 140 ÷ 70
= 2 h

Duration that Albert took to arrive later than Ian in City F
= 2 - 1¹₄
= ³₄ h

Answer(s): (a) 8.30 a.m.; (b) ³₄ h