Ken started driving from Town M towards Town N at 13 30 at an average speed of 60 km/h. Vincent began driving from Town M towards Town N at 16 20 at an average speed of 110 km/h.
- At what time did Vincent pass Ken on the road?
- 1110 hours after passing Ken, Vincent reached Town N. At what time did Ken reach Town N?
(a)
From 13 30 to 16 20 = 2 h 50 min
Time that Ken travelled before Vincent started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Ken travelled before Vincent started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Vincent's and Ken's speed
= 110 - 60
= 50 km/h
Time that Vincent took to catch up with Ken
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 16 20 = 19 44
Time that Vincent passed Ken on the road = 19 44
(b)
1
110 h = 1 h 6 min
Total time that Vincent travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Town M and Town N
= 4
12 x 110
= 495 km
Time that Ken travelled from Town M to Town N
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 13 30 = 21 45
Time that Ken reached Town N = 21 45
Answer: (a) 19 44; (b) 21 45