Warren started driving from Town Q towards Town R at 15 40 at an average speed of 60 km/h. Vincent began driving from Town Q towards Town R at 18 30 at an average speed of 110 km/h.
- At what time did Vincent pass Warren on the road?
- 1110 hours after passing Warren, Vincent reached Town R. At what time did Warren reach Town R?
(a)
From 15 40 to 18 30 = 2 h 50 min
Time that Warren travelled before Vincent started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Warren travelled before Vincent started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Vincent's and Warren's speed
= 110 - 60
= 50 km/h
Time that Vincent took to catch up with Warren
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 18 30 = 21 54
Time that Vincent passed Warren on the road = 21 54
(b)
1
110 h = 1 h 6 min
Total time that Vincent travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Town Q and Town R
= 4
12 x 110
= 495 km
Time that Warren travelled from Town Q to Town R
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 15 40 = 23 55
Time that Warren reached Town R = 23 55
Answer: (a) 21 54; (b) 23 55