Michael started driving from Town T towards Town U at 15 40 at an average speed of 60 km/h. Gabriel began driving from Town T towards Town U at 17 20 at an average speed of 100 km/h.
- At what time did Gabriel pass Michael on the road?
- 114 hours after passing Michael, Gabriel reached Town U. At what time did Michael reach Town U?
(a)
From 15 40 to 17 20 = 1 h 40 min
Time that Michael travelled before Gabriel started driving = 1 h 40 min
1 h = 60 min
1 h 40 min = 1
4060 h = 1
23 h
Distance that Michael travelled before Gabriel started driving
= 1
23 x 60
=
53 x 60
= 100 km
Difference between Gabriel's and Michael's speed
= 100 - 60
= 40 km/h
Time that Gabriel took to catch up with Michael
= 100 ÷ 40
= 2.5 h
= 2 h 30 min
2 h 30 min after 17 20 = 19 50
Time that Gabriel passed Michael on the road = 19 50
(b)
1
14 h = 1 h 15 min
Total time that Gabriel travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min
3 h 45 min = 3
4560h = 3
34h
Distance between Town T and Town U
= 3
34 x 100
= 375 km
Time that Michael travelled from Town T to Town U
= 375 ÷ 60
= 6.25 h
= 6 h 15 min
6 h 15 min after 15 40 = 21 55
Time that Michael reached Town U = 21 55
Answer: (a) 19 50; (b) 21 55