City L and City M were 726 km apart. A sports car travelled from City L towards City M. At the same time, a lorry started from City M to City L. After travelling 1²₅ h, the two vehicles were still 495 km apart. If the ratio of the average speed of the lorry to that of the sports car was 5 : 6, find

1. the average speed of the lorry.
2. the time taken for them to meet travelling the rest of the journey. Express your answer in h.

(a)
Distance covered in 1²₅ h by the two vehicles
= 726 - 495
= 231 km

Combined speed of the two vehicles
= 231 ÷ ⁷₅
= 231 x ⁵₇
= 165 km/h

Average speed of the lorry : Average speed of the sports car = 5 : 6

5 u + 6 u = 11 u 
11 u = 165

1 u = 165 ÷ 11 = 15

Average speed of the lorry
= 5 u
= 5 x 15
= 75 km/h

(b)
Time taken for the lorry and the sports car to meet travelling the rest of the journey
= 495 ÷ 165
= 3 h 

Answer(s): (a) 75 km/h; (b) 3 h