City E and City F is 408 km apart. Albert left City E for City F at 8.00 a.m. travelling at an average speed of 68 km/h. Owen left City E later than Albert and caught up with him at 12.00 p.m. Owen was travelling at a speed of 102 km/h.
- At what time did Owen leave City E?
- How much later did Albert arrive in City F than Owen? Express your answer in h as a fraction or mixed number.
(a)
From 8.00 a.m. to 12.00 p.m. = 4 h
Distance that Albert covered when Owen caught up with Albert
= 4 x 68
= 272 km
Time that Owen took to travel 272 km
= 272 ÷ 102
= 2
23 h
1 h = 60 min
23 h =
23 x 60 = 40 min
2
23 h = 2 h 40 min
Time that Owen left City E:
2 h 40 min before 12.00 p.m. = 9.20 a.m.
(b)
Remaining distance that they had to cover to reach City F
= 408 - 272
= 136 km
Duration that Owen had to travel before reaching City F
= 136 ÷ 102
= 1
13 h
Duration that Albert had to travel before reaching City F
= 136 ÷ 68
= 2 h
Duration that Albert took to arrive later than Owen in City F
= 2 - 1
13=
23 h
Answer(s): (a) 9.20 a.m.; (b)
23 h