Daniel started driving from Town C towards Town D at 14 30 at an average speed of 60 km/h. Ahmad began driving from Town C towards Town D at 17 20 at an average speed of 110 km/h.
- At what time did Ahmad pass Daniel on the road?
- 1110 hours after passing Daniel, Ahmad reached Town D. At what time did Daniel reach Town D?
(a)
From 14 30 to 17 20 = 2 h 50 min
Time that Daniel travelled before Ahmad started driving = 2 h 50 min
1 h = 60 min
2 h 50 min = 2
5060 h = 2
56 h
Distance that Daniel travelled before Ahmad started driving
= 2
56 x 60
=
176 x 60
= 170 km
Difference between Ahmad's and Daniel's speed
= 110 - 60
= 50 km/h
Time that Ahmad took to catch up with Daniel
= 170 ÷ 50
= 3.4 h
= 3 h 24 min
3 h 24 min after 17 20 = 20 44
Time that Ahmad passed Daniel on the road = 20 44
(b)
1
110 h = 1 h 6 min
Total time that Ahmad travelled
= 1 h 6 min + 3 h 24 min
= 4 h 30 min
4 h 30 min = 4
3060h = 4
12h
Distance between Town C and Town D
= 4
12 x 110
= 495 km
Time that Daniel travelled from Town C to Town D
= 495 ÷ 60
= 8.25 h
= 8 h 15 min
8 h 15 min after 14 30 = 22 45
Time that Daniel reached Town D = 22 45
Answer: (a) 20 44; (b) 22 45