City K and City L is 252 km apart. Rael left City K for City L at 10.00 a.m. travelling at an average speed of 63 km/h. Liam left City K later than Rael and caught up with him at 12.00 p.m. Liam was travelling at a speed of 108 km/h.
- At what time did Liam leave City K?
- How much later did Rael arrive in City L than Liam? 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 Rael covered when Liam caught up with Rael
= 2 x 63
= 126 km
Time that Liam took to travel 126 km
= 126 ÷ 108
= 1
16 h
1 h = 60 min
16 h =
16 x 60 = 10 min
1
16 h = 1 h 10 min
Time that Liam left City K:
1 h 10 min before 12.00 p.m. = 10.50 a.m.
(b)
Remaining distance that they had to cover to reach City L
= 252 - 126
= 126 km
Duration that Liam had to travel before reaching City L
= 126 ÷ 108
= 1
16 h
Duration that Rael had to travel before reaching City L
= 126 ÷ 63
= 2 h
Duration that Rael took to arrive later than Liam in City L
= 2 - 1
16=
56 h
Answer(s): (a) 10.50 a.m.; (b)
56 h
