City U and City V were 440 km apart. A van travelled from City U towards City V. At the same time, a bus started from City V to City U. After travelling 1
12 h, the two vehicles were still 176 km apart. If the ratio of the average speed of the bus to that of the van 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
12 h by the two vehicles
= 440 - 176
= 264 km
Combined speed of the two vehicles
= 264 ÷
32 = 264 x
23 = 176 km/h
Average speed of the bus : Average speed of the van = 5 : 6
5 u + 6 u = 11 u
11 u = 176
1 u = 176 ÷ 11 = 16
Average speed of the van
= 6 u
= 6 x 16
= 96 km/h
(b)
Time taken for the bus and the van to meet travelling the rest of the journey
= 176 ÷ 176
= 1 h
Answer(s): (a) 96 km/h; (b) 1 h