Ken started driving from Town A towards Town B at 15 40 at an average speed of 60 km/h. Owen began driving from Town A towards Town B at 17 20 at an average speed of 100 km/h.
- At what time did Owen pass Ken on the road?
- 114 hours after passing Ken, Owen reached Town B. At what time did Ken reach Town B?
(a)
From 15 40 to 17 20 = 1 h 40 min
Time that Ken travelled before Owen 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 Owen started driving
= 1
23 x 60
=
53 x 60
= 100 km
Difference between Owen's and Ken's speed
= 100 - 60
= 40 km/h
Time that Owen took to catch up with Ken
= 100 ÷ 40
= 2.5 h
= 2 h 30 min
2 h 30 min after 17 20 = 19 50
Time that Owen passed Ken on the road = 19 50
(b)
1
14 h = 1 h 15 min
Total time that Owen travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min
3 h 45 min = 3
4560h = 3
34h
Distance between Town A and Town B
= 3
34 x 100
= 375 km
Time that Ken travelled from Town A to Town B
= 375 ÷ 60
= 6.25 h
= 6 h 15 min
6 h 15 min after 15 40 = 21 55
Time that Ken reached Town B = 21 55
Answer: (a) 19 50; (b) 21 55