Vincent started driving from Town L towards Town M at 14 45 at an average speed of 60 km/h. Gabriel began driving from Town L towards Town M at 16 35 at an average speed of 110 km/h.
- At what time did Gabriel pass Vincent on the road?
- 1110 hours after passing Vincent, Gabriel reached Town M. At what time did Vincent reach Town M?
(a)
From 14 45 to 16 35 = 1 h 50 min
Time that Vincent travelled before Gabriel started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Vincent travelled before Gabriel started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Gabriel's and Vincent's speed
= 110 - 60
= 50 km/h
Time that Gabriel took to catch up with Vincent
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 16 35 = 18 47
Time that Gabriel passed Vincent on the road = 18 47
(b)
1
110 h = 1 h 6 min
Total time that Gabriel travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between Town L and Town M
= 3
310 x 110
= 363 km
Time that Vincent travelled from Town L to Town M
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 14 45 = 20 48
Time that Vincent reached Town M = 20 48
Answer: (a) 18 47; (b) 20 48