Oliver started driving from Village M towards Village N at 15 30 at an average speed of 60 km/h. Ken began driving from Village M towards Village N at 17 10 at an average speed of 100 km/h.
- At what time did Ken pass Oliver on the road?
- 114 hours after passing Oliver, Ken reached Village N. At what time did Oliver reach Village N?
(a)
From 15 30 to 17 10 = 1 h 40 min
Time that Oliver travelled before Ken started driving = 1 h 40 min
1 h = 60 min
1 h 40 min = 1
4060 h = 1
23 h
Distance that Oliver travelled before Ken started driving
= 1
23 x 60
=
53 x 60
= 100 km
Difference between Ken's and Oliver's speed
= 100 - 60
= 40 km/h
Time that Ken took to catch up with Oliver
= 100 ÷ 40
= 2.5 h
= 2 h 30 min
2 h 30 min after 17 10 = 19 40
Time that Ken passed Oliver on the road = 19 40
(b)
1
14 h = 1 h 15 min
Total time that Ken travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min
3 h 45 min = 3
4560h = 3
34h
Distance between Village M and Village N
= 3
34 x 100
= 375 km
Time that Oliver travelled from Village M to Village N
= 375 ÷ 60
= 6.25 h
= 6 h 15 min
6 h 15 min after 15 30 = 21 45
Time that Oliver reached Village N = 21 45
Answer: (a) 19 40; (b) 21 45