Ian started driving from Town S towards Town T at 14 45 at an average speed of 60 km/h. Riordan began driving from Town S towards Town T at 16 35 at an average speed of 110 km/h.
- At what time did Riordan pass Ian on the road?
- 1110 hours after passing Ian, Riordan reached Town T. At what time did Ian reach Town T?
(a)
From 14 45 to 16 35 = 1 h 50 min
Time that Ian travelled before Riordan started driving = 1 h 50 min
1 h = 60 min
1 h 50 min = 1
5060 h = 1
56 h
Distance that Ian travelled before Riordan started driving
= 1
56 x 60
=
116 x 60
= 110 km
Difference between Riordan's and Ian's speed
= 110 - 60
= 50 km/h
Time that Riordan took to catch up with Ian
= 110 ÷ 50
= 2.2 h
= 2 h 12 min
2 h 12 min after 16 35 = 18 47
Time that Riordan passed Ian on the road = 18 47
(b)
1
110 h = 1 h 6 min
Total time that Riordan travelled
= 1 h 6 min + 2 h 12 min
= 3 h 18 min
3 h 18 min = 3
1860h = 3
310h
Distance between Town S and Town T
= 3
310 x 110
= 363 km
Time that Ian travelled from Town S to Town T
= 363 ÷ 60
= 6.05 h
= 6 h 3 min
6 h 3 min after 14 45 = 20 48
Time that Ian reached Town T = 20 48
Answer: (a) 18 47; (b) 20 48