Glen started driving from Village V towards Village W at 15 30 at an average speed of 60 km/h. Liam began driving from Village V towards Village W at 18 20 at an average speed of 110 km/h.
- At what time did Liam pass Glen on the road?
- 1110 hours after passing Glen, Liam reached Village W. At what time did Glen reach Village W?
(a)
From 15 30 to 18 20 = 2 h 50 min
Time that Glen travelled before Liam started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Glen travelled before Liam started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Liam's and Glen's speed
= 110 - 60
= 50 km/h
Time that Liam took to catch up with Glen
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 18 20 = 21 44
Time that Liam passed Glen on the road = 21 44
(b)
1
110 h = 1 h 6 min
Total time that Liam travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Village V and Village W
= 4
12 x 110
= 495 km
Time that Glen travelled from Village V to Village W
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 15 30 = 23 45
Time that Glen reached Village W = 23 45
Answer: (a) 21 44; (b) 23 45