Simon started driving from Town D towards Town E at 13 40 at an average speed of 60 km/h. Justin began driving from Town D towards Town E at 16 30 at an average speed of 110 km/h.
- At what time did Justin pass Simon on the road?
- 1110 hours after passing Simon, Justin reached Town E. At what time did Simon reach Town E?
(a)
From 13 40 to 16 30 = 2 h 50 min
Time that Simon travelled before Justin started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Simon travelled before Justin started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Justin's and Simon's speed
= 110 - 60
= 50 km/h
Time that Justin took to catch up with Simon
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 16 30 = 19 54
Time that Justin passed Simon on the road = 19 54
(b)
1
110 h = 1 h 6 min
Total time that Justin travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Town D and Town E
= 4
12 x 110
= 495 km
Time that Simon travelled from Town D to Town E
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 13 40 = 21 55
Time that Simon reached Town E = 21 55
Answer: (a) 19 54; (b) 21 55