City F and City G is 408 km apart. Ahmad left City F for City G at 11.00 a.m. travelling at an average speed of 68 km/h. Cody left City F later than Ahmad and caught up with him at 3.00 p.m. Cody was travelling at a speed of 102 km/h.
- At what time did Cody leave City F?
- How much later did Ahmad arrive in City G than Cody? Express your answer in h as a fraction or mixed number.
(a)
From 11.00 a.m. to 3.00 p.m. = 4 h
Distance that Ahmad covered when Cody caught up with Ahmad
= 4 x 68
= 272 km
Time that Cody 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 Cody left City F:
2 h 40 min before 3.00 p.m. = 12.20 p.m.
(b)
Remaining distance that they had to cover to reach City G
= 408 - 272
= 136 km
Duration that Cody had to travel before reaching City G
= 136 ÷ 102
= 1
13 h
Duration that Ahmad had to travel before reaching City G
= 136 ÷ 68
= 2 h
Duration that Ahmad took to arrive later than Cody in City G
= 2 - 1
13=
23 h
Answer(s): (a) 12.20 p.m.; (b)
23 h