Ryan started driving from City M towards City N at 14 40 at an average speed of 60 km/h. Neave began driving from City M towards City N at 16 20 at an average speed of 100 km/h.
- At what time did Neave pass Ryan on the road?
- 114 hours after passing Ryan, Neave reached City N. At what time did Ryan reach City N?
(a)
From 14 40 to 16 20 = 1 h 40 min
Time that Ryan travelled before Neave started driving = 1 h 40 min
1 h = 60 min
1 h 40 min = 1
4060 h = 1
23 h
Distance that Ryan travelled before Neave started driving
= 1
23 x 60
=
53 x 60
= 100 km
Difference between Neave's and Ryan's speed
= 100 - 60
= 40 km/h
Time that Neave took to catch up with Ryan
= 100 ÷ 40
= 2.5 h
= 2 h 30 min
2 h 30 min after 16 20 = 18 50
Time that Neave passed Ryan on the road = 18 50
(b)
1
14 h = 1 h 15 min
Total time that Neave travelled
= 1 h 15 min + 2 h 30 min
= 3 h 45 min
3 h 45 min = 3
4560h = 3
34h
Distance between City M and City N
= 3
34 x 100
= 375 km
Time that Ryan travelled from City M to City N
= 375 ÷ 60
= 6.25 h
= 6 h 15 min
6 h 15 min after 14 40 = 20 55
Time that Ryan reached City N = 20 55
Answer: (a) 18 50; (b) 20 55