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