City Z and City A were 385 km apart. A car travelled from City Z towards City A. At the same time, a van started from City A to City Z. After travelling 1
13 h, the two vehicles were still 165 km apart. If the ratio of the average speed of the van to that of the 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
= 385 - 165
= 220 km
Combined speed of the two vehicles
= 220 ÷
43 = 220 x
34 = 165 km/h
Average speed of the van : Average speed of the car = 5 : 6
5 u + 6 u = 11 u
11 u = 165
1 u = 165 ÷ 11 = 15
Average speed of the van
= 5 u
= 5 x 15
= 75 km/h
(b)
Time taken for the van and the car to meet travelling the rest of the journey
= 165 ÷ 165
= 1 h
Answer(s): (a) 75 km/h; (b) 1 h