Justin started driving from City J towards City K at 13 30 at an average speed of 60 km/h. Fred began driving from City J towards City K at 15 20 at an average speed of 110 km/h.
- At what time did Fred pass Justin on the road?
- 1110 hours after passing Justin, Fred reached City K. At what time did Justin reach City K?
(a)
From 13 30 to 15 20 = 1 h 50 min
Time that Justin travelled before Fred started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Justin travelled before Fred started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Fred's and Justin's speed
= 110 - 60
= 50 km/h
Time that Fred took to catch up with Justin
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 15 20 = 17 32
Time that Fred passed Justin on the road = 17 32
(b)
1
110 h = 1 h 6 min
Total time that Fred travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between City J and City K
= 3
310 x 110
= 363 km
Time that Justin travelled from City J to City K
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 13 30 = 19 33
Time that Justin reached City K = 19 33
Answer: (a) 17 32; (b) 19 33