City F and City G were 432 km apart. A van travelled from City F towards City G. At the same time, a lorry started from City G to City F. After travelling 1
15 h, the two vehicles were still 270 km apart. If the ratio of the average speed of the lorry to that of the van was 4 : 5, find
- the average speed of the lorry.
- the time taken for them to meet travelling the rest of the journey. Express your answer in h.
(a)
Distance covered in 1
15 h by the two vehicles
= 432 - 270
= 162 km
Combined speed of the two vehicles
= 162 ÷
65 = 162 x
56 = 135 km/h
Average speed of the lorry : Average speed of the van = 4 : 5
4 u + 5 u = 9 u
9 u = 135
1 u = 135 ÷ 9 = 15
Average speed of the lorry
= 4 u
= 4 x 15
= 60 km/h
(b)
Time taken for the lorry and the van to meet travelling the rest of the journey
= 270 ÷ 135
= 2 h
Answer(s): (a) 60 km/h; (b) 2 h