City A and City B were 455 km apart. A car travelled from City A towards City B. At the same time, a van started from City B to City A. After travelling 1
13 h, the two vehicles were still 195 km apart. If the ratio of the average speed of the van to that of the car was 6 : 7, 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
= 455 - 195
= 260 km
Combined speed of the two vehicles
= 260 ÷
43 = 260 x
34 = 195 km/h
Average speed of the van : Average speed of the car = 6 : 7
6 u + 7 u = 13 u
13 u = 195
1 u = 195 ÷ 13 = 15
Average speed of the van
= 6 u
= 6 x 15
= 90 km/h
(b)
Time taken for the van and the car to meet travelling the rest of the journey
= 195 ÷ 195
= 1 h
Answer(s): (a) 90 km/h; (b) 1 h