City Q and City R is 480 km apart. Tom left City Q for City R at 8.00 a.m. travelling at an average speed of 60 km/h. Ben left City Q later than Tom and caught up with him at 12.00 p.m. Ben was travelling at a speed of 96 km/h.
- At what time did Ben leave City Q?
- How much later did Tom arrive in City R than Ben? 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 Tom covered when Ben caught up with Tom
= 4 x 60
= 240 km
Time that Ben took to travel 240 km
= 240 ÷ 96
= 2
12 h
1 h = 60 min
12 h =
12 x 60 = 30 min
2
12 h = 2 h 30 min
Time that Ben left City Q:
2 h 30 min before 12.00 p.m. = 9.30 a.m.
(b)
Remaining distance that they had to cover to reach City R
= 480 - 240
= 240 km
Duration that Ben had to travel before reaching City R
= 240 ÷ 96
= 2
12 h
Duration that Tom had to travel before reaching City R
= 240 ÷ 60
= 4 h
Duration that Tom took to arrive later than Ben in City R
= 4 - 2
12= 1
12 h
Answer(s): (a) 9.30 a.m.; (b) 1
12 h
