City D and City E were 308 km apart. A sports car travelled from City D towards City E. At the same time, a van started from City E to City D. After travelling 1
13 h, the two vehicles were still 132 km apart. If the ratio of the average speed of the van to that of the sports car was 5 : 6, find
- the average speed of the van.
- the time taken for them to meet travelling the rest of the journey. Express your answer in h.
(a)
Distance covered in 1
13 h by the two vehicles
= 308 - 132
= 176 km
Combined speed of the two vehicles
= 176 ÷
43 = 176 x
34 = 132 km/h
Average speed of the van : Average speed of the sports car = 5 : 6
5 u + 6 u = 11 u
11 u = 132
1 u = 132 ÷ 11 = 12
Average speed of the van
= 5 u
= 5 x 12
= 60 km/h
(b)
Time taken for the van and the sports car to meet travelling the rest of the journey
= 132 ÷ 132
= 1 h
Answer(s): (a) 60 km/h; (b) 1 h