City N and City P were 884 km apart. A car travelled from City N towards City P. At the same time, a van started from City P to City N. After travelling 1
14 h, the two vehicles were still 624 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
14 h by the two vehicles
= 884 - 624
= 260 km
Combined speed of the two vehicles
= 260 ÷
54 = 260 x
45 = 208 km/h
Average speed of the van : Average speed of the car = 6 : 7
6 u + 7 u = 13 u
13 u = 208
1 u = 208 ÷ 13 = 16
Average speed of the van
= 6 u
= 6 x 16
= 96 km/h
(b)
Time taken for the van and the car to meet travelling the rest of the journey
= 624 ÷ 208
= 3 h
Answer(s): (a) 96 km/h; (b) 3 h