City V and City W is 468 km apart. Tim left City V for City W at 10.00 a.m. travelling at an average speed of 78 km/h. Fabian left City V later than Tim and caught up with him at 12.00 p.m. Fabian was travelling at a speed of 104 km/h.
- At what time did Fabian leave City V?
- How much later did Tim arrive in City W than Fabian? 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 Tim covered when Fabian caught up with Tim
= 2 x 78
= 156 km
Time that Fabian took to travel 156 km
= 156 ÷ 104
= 1
12 h
1 h = 60 min
12 h =
12 x 60 = 30 min
1
12 h = 1 h 30 min
Time that Fabian left City V:
1 h 30 min before 12.00 p.m. = 10.30 a.m.
(b)
Remaining distance that they had to cover to reach City W
= 468 - 156
= 312 km
Duration that Fabian had to travel before reaching City W
= 312 ÷ 104
= 3 h
Duration that Tim had to travel before reaching City W
= 312 ÷ 78
= 4 h
Duration that Tim took to arrive later than Fabian in City W
= 4 - 3
= 1 h
Answer(s): (a) 10.30 a.m.; (b) 1 h