Peter started driving from City E towards City F at 14 30 at an average speed of 60 km/h. Luis began driving from City E towards City F at 16 20 at an average speed of 110 km/h.
- At what time did Luis pass Peter on the road?
- 1110 hours after passing Peter, Luis reached City F. At what time did Peter reach City F?
(a)
From 14 30 to 16 20 = 1 h 50 min
Time that Peter travelled before Luis started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Peter travelled before Luis started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Luis's and Peter's speed
= 110 - 60
= 50 km/h
Time that Luis took to catch up with Peter
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 16 20 = 18 32
Time that Luis passed Peter on the road = 18 32
(b)
1
110 h = 1 h 6 min
Total time that Luis travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between City E and City F
= 3
310 x 110
= 363 km
Time that Peter travelled from City E to City F
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 14 30 = 20 33
Time that Peter reached City F = 20 33
Answer: (a) 18 32; (b) 20 33