City Q and City R is 480 km apart. Carl left City Q for City R at 7.00 a.m. travelling at an average speed of 60 km/h. Glen left City Q later than Carl and caught up with him at 10.00 a.m. Glen was travelling at a speed of 72 km/h.
- At what time did Glen leave City Q?
- How much later did Carl arrive in City R than Glen? Express your answer in h as a fraction or mixed number.
(a)
From 7.00 a.m. to 10.00 a.m. = 3 h
Distance that Carl covered when Glen caught up with Carl
= 3 x 60
= 180 km
Time that Glen took to travel 180 km
= 180 ÷ 72
= 2
12 h
1 h = 60 min
12 h =
12 x 60 = 30 min
2
12 h = 2 h 30 min
Time that Glen left City Q:
2 h 30 min before 10.00 a.m. = 7.30 a.m.
(b)
Remaining distance that they had to cover to reach City R
= 480 - 180
= 300 km
Duration that Glen had to travel before reaching City R
= 300 ÷ 72
= 4
16 h
Duration that Carl had to travel before reaching City R
= 300 ÷ 60
= 5 h
Duration that Carl took to arrive later than Glen in City R
= 5 - 4
16=
56 h
Answer(s): (a) 7.30 a.m.; (b)
56 h
