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