Elijah started driving from Town H towards Town J at 13 40 at an average speed of 60 km/h. Tom began driving from Town H towards Town J at 16 30 at an average speed of 110 km/h.
- At what time did Tom pass Elijah on the road?
- 1110 hours after passing Elijah, Tom reached Town J. At what time did Elijah reach Town J?
(a)
From 13 40 to 16 30 = 2 h 50 min
Time that Elijah travelled before Tom started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Elijah travelled before Tom started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Tom's and Elijah's speed
= 110 - 60
= 50 km/h
Time that Tom took to catch up with Elijah
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 16 30 = 19 54
Time that Tom passed Elijah on the road = 19 54
(b)
1
110 h = 1 h 6 min
Total time that Tom travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Town H and Town J
= 4
12 x 110
= 495 km
Time that Elijah travelled from Town H to Town J
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 13 40 = 21 55
Time that Elijah reached Town J = 21 55
Answer: (a) 19 54; (b) 21 55