City L and City M were 792 km apart. A sports car travelled from City L towards City M. At the same time, a van started from City M to City L. After travelling 1
12 h, the two vehicles were still 528 km apart. If the ratio of the average speed of the van to that of the sports car was 5 : 6, find
- the average speed of the sports car.
- 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
= 792 - 528
= 264 km
Combined speed of the two vehicles
= 264 ÷
32 = 264 x
23 = 176 km/h
Average speed of the van : Average speed of the sports car = 5 : 6
5 u + 6 u = 11 u
11 u = 176
1 u = 176 ÷ 11 = 16
Average speed of the sports car
= 6 u
= 6 x 16
= 96 km/h
(b)
Time taken for the van and the sports car to meet travelling the rest of the journey
= 528 ÷ 176
= 3 h
Answer(s): (a) 96 km/h; (b) 3 h