Tommy started driving from Town Q towards Town R at 13 45 at an average speed of 60 km/h. Vincent began driving from Town Q towards Town R at 15 35 at an average speed of 110 km/h.
- At what time did Vincent pass Tommy on the road?
- 1110 hours after passing Tommy, Vincent reached Town R. At what time did Tommy reach Town R?
(a)
From 13 45 to 15 35 = 1 h 50 min
Time that Tommy travelled before Vincent started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Tommy travelled before Vincent started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Vincent's and Tommy's speed
= 110 - 60
= 50 km/h
Time that Vincent took to catch up with Tommy
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 15 35 = 17 47
Time that Vincent passed Tommy on the road = 17 47
(b)
1
110 h = 1 h 6 min
Total time that Vincent travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between Town Q and Town R
= 3
310 x 110
= 363 km
Time that Tommy travelled from Town Q to Town R
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 13 45 = 19 48
Time that Tommy reached Town R = 19 48
Answer: (a) 17 47; (b) 19 48