City K and City L were 676 km apart. A car travelled from City K towards City L. At the same time, a bus started from City L to City K. After travelling 1
14 h, the two vehicles were still 416 km apart. If the ratio of the average speed of the bus to that of the car was 6 : 7, find
- the average speed of the car.
- the time taken for them to meet travelling the rest of the journey. Express your answer in h.
(a)
Distance covered in 1
14 h by the two vehicles
= 676 - 416
= 260 km
Combined speed of the two vehicles
= 260 ÷
54 = 260 x
45 = 208 km/h
Average speed of the bus : Average speed of the car = 6 : 7
6 u + 7 u = 13 u
13 u = 208
1 u = 208 ÷ 13 = 16
Average speed of the car
= 7 u
= 7 x 16
= 112 km/h
(b)
Time taken for the bus and the car to meet travelling the rest of the journey
= 416 ÷ 208
= 2 h
Answer(s): (a) 112 km/h; (b) 2 h