David started driving from Town K towards Town L at 13 30 at an average speed of 60 km/h. Ethan began driving from Town K towards Town L at 15 10 at an average speed of 100 km/h.
- At what time did Ethan pass David on the road?
- 114 hours after passing David, Ethan reached Town L. At what time did David reach Town L?
(a)
From 13 30 to 15 10 = 1 h 40 min
Time that David travelled before Ethan started driving = 1 h 40 min
1 h = 60 min
1 h 40 min = 1
4060 h = 1
23 h
Distance that David travelled before Ethan started driving
= 1
23 x 60
=
53 x 60
= 100 km
Difference between Ethan's and David's speed
= 100 - 60
= 40 km/h
Time that Ethan took to catch up with David
= 100 ÷ 40
= 2.5 h
= 2 h 30 min
2 h 30 min after 15 10 = 17 40
Time that Ethan passed David on the road = 17 40
(b)
1
14 h = 1 h 15 min
Total time that Ethan travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min
3 h 45 min = 3
4560h = 3
34h
Distance between Town K and Town L
= 3
34 x 100
= 375 km
Time that David travelled from Town K to Town L
= 375 ÷ 60
= 6.25 h
= 6 h 15 min
6 h 15 min after 13 30 = 19 45
Time that David reached Town L = 19 45
Answer: (a) 17 40; (b) 19 45