City G and City H are 357 km apart. At 6.53 p.m., Perry is travelling at a uniform speed left City G for City H while Liam set off from City H to City G along the same road at a uniform speed, which was 7 km/h slower than that of Perry. The two met at 9.53 p.m.

1. Find the speed of Perry.
2. If Liam continued to travel at the same speed, how long would it take for him to reach his destination after the two met? Express your answer in mixed number.

(a)
Time taken for Perry and Liam to travel from 6.53 p.m. to 9.53 p.m. = 3 h

Average speed of Perry and Liam
= 357 ÷ 3
= 119 km/h

Perry's speed
= (119 + 7) ÷ 2
= 126 ÷ 2 
= 63 km/h

(b)
Liam's speed
= 63 - 7
= 56 km/h

Distance that Liam travelled in 3 h
= 3 x 56
= 168 km

Remaining distance that Liam needed to travel
= 357 - 168
= 189 km

Time that Liam needed to reach his destination after the two met
= 189 ÷ 56
= 3²¹₅₆
= 3³₈ h

Answer(s): (a) 63 km/h; (b) 3³₈ h