City Y and City Z were 637 km apart. A car travelled from City Y towards City Z. At the same time, a van started from City Z to City Y. After travelling 1
12 h, the two vehicles were still 364 km apart. If the ratio of the average speed of the van 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
12 h by the two vehicles
= 637 - 364
= 273 km
Combined speed of the two vehicles
= 273 ÷
32 = 273 x
23 = 182 km/h
Average speed of the van : Average speed of the car = 6 : 7
6 u + 7 u = 13 u
13 u = 182
1 u = 182 ÷ 13 = 14
Average speed of the car
= 7 u
= 7 x 14
= 98 km/h
(b)
Time taken for the van and the car to meet travelling the rest of the journey
= 364 ÷ 182
= 2 h
Answer(s): (a) 98 km/h; (b) 2 h