City U and City V were 594 km apart. A sports car 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 396 km apart. If the ratio of the average speed of the bus 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
= 594 - 396
= 198 km
Combined speed of the two vehicles
= 198 ÷
32 = 198 x
23 = 132 km/h
Average speed of the bus : Average speed of the sports car = 5 : 6
5 u + 6 u = 11 u
11 u = 132
1 u = 132 ÷ 11 = 12
Average speed of the sports car
= 6 u
= 6 x 12
= 72 km/h
(b)
Time taken for the bus and the sports car to meet travelling the rest of the journey
= 396 ÷ 132
= 3 h
Answer(s): (a) 72 km/h; (b) 3 h