Luke started driving from Town T towards Town U at 13 45 at an average speed of 60 km/h. Perry began driving from Town T towards Town U at 15 35 at an average speed of 110 km/h.
- At what time did Perry pass Luke on the road?
- 1110 hours after passing Luke, Perry reached Town U. At what time did Luke reach Town U?
(a)
From 13 45 to 15 35 = 1 h 50 min
Time that Luke travelled before Perry started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Luke travelled before Perry started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Perry's and Luke's speed
= 110 - 60
= 50 km/h
Time that Perry took to catch up with Luke
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 15 35 = 17 47
Time that Perry passed Luke on the road = 17 47
(b)
1
110 h = 1 h 6 min
Total time that Perry travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between Town T and Town U
= 3
310 x 110
= 363 km
Time that Luke travelled from Town T to Town U
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 13 45 = 19 48
Time that Luke reached Town U = 19 48
Answer: (a) 17 47; (b) 19 48